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Simplifying -3(x + -12) = -2(x + -7) Reorder the terms: -3(-12 + x) = -2(x + -7) (-12 * -3 + x * -3) = -2(x + -7) (36 + -3x) = -2(x + -7) Reorder the terms: 36 + -3x = -2(-7 + x) 36 + -3x = (-7 * -2 + x * -2) 36 + -3x = (14 + -2x) Solving 36 + -3x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + -3x + 2x = 14 + -2x + 2x Combine like terms: -3x + 2x = -1x 36 + -1x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + -1x = 14 + 0 36 + -1x = 14 Add '-36' to each side of the equation. 36 + -36 + -1x = 14 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 14 + -36 -1x = 14 + -36 Combine like terms: 14 + -36 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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