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Simplifying -12(x + -7) = 4(x + -1) Reorder the terms: -12(-7 + x) = 4(x + -1) (-7 * -12 + x * -12) = 4(x + -1) (84 + -12x) = 4(x + -1) Reorder the terms: 84 + -12x = 4(-1 + x) 84 + -12x = (-1 * 4 + x * 4) 84 + -12x = (-4 + 4x) Solving 84 + -12x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 84 + -12x + -4x = -4 + 4x + -4x Combine like terms: -12x + -4x = -16x 84 + -16x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + -16x = -4 + 0 84 + -16x = -4 Add '-84' to each side of the equation. 84 + -84 + -16x = -4 + -84 Combine like terms: 84 + -84 = 0 0 + -16x = -4 + -84 -16x = -4 + -84 Combine like terms: -4 + -84 = -88 -16x = -88 Divide each side by '-16'. x = 5.5 Simplifying x = 5.5
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