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$a, 2(x-5)-3(x+7)=14$
$⇔2x-10-3x-21=14$
$⇔-x=14+10+21=45$
$⇔x=-45$
$b,5(x-6)-2(x+3)=12$
$⇔5x-30-2x-6=12$
$⇔3x=12+30+6=48$
$⇔x=16$
$c,3(x-4)-(8-x)=12$
$⇔3x-12-8+x=12$
$⇔4x=12+12+8=32$
$⇔x=8$
$d,-7(3x-5)+2(7x-14)=28$
$⇔-21x+35+14x-28=28$
$⇔-7x=28+28-35=21$
$⇔x=-3$
$e,5(3 – 2x) + 5(x – 4) = 6 – 4x$
$⇔15-10x+5x-20=6-4x$
$⇔-x=11$
$⇔x=-11$
$f,-5(2-x)+4(x-2)=10x-15$
$⇔-10+5x+4x-8=10x-15$
$⇔x=-3$
$g,2(4x – 8) – 7(3 + x) = |-4|(3 – 2)$
$⇔8x-16-21-7x=4$
$⇔x=41$
$h, 8(x – |-7|) – 6(x – 2) = |-8|.6 – 50$
$⇔8(x-7)-6(x-2)=48-50$
$⇔8x-56-6x+12=-2$
$⇔2x=42$
$⇔x=21$
$k, -7(5 – x) – 2(x – 10) = 15$
$⇔-35+7x-2x+10=15$
$⇔5x=40$
$⇔x=8$
$l, 4(x – 1) – 3(x – 2) = -|-5|$
$⇔4x-4-3x+2=-5$
$⇔x=-3$
$m, -4(x+1)+8(9x-3)=24$
$⇔-4x-4+72x-24=24$
$⇔68x=52$
$⇔x=\dfrac{52}{68}$
$n, 5(x-30)-2(x+6)=9$
$⇔5x-150-2x-12=9$
$⇔3x=171$
$⇔x=57$
$o,-3(x-5)+6(x+2)=9$
$⇔-3x+15+6x+12=9$
$⇔x=-21$
$p,7(x-9)-5(6-x)=-6+11x$
$⇔7x-63-30+5x=-6+11x$
$⇔x=87$
$q,10(x-7)-8(x+5)=6.(-5)+24$
$⇔10x-70-8x-40=-30+24$
$⇔2x=-30+24+70+40$
$⇔2x=104$
$⇔x=57$
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