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Simplifying -1(x + 8) = 3(x + -12) Reorder the terms: -1(8 + x) = 3(x + -12) (8 * -1 + x * -1) = 3(x + -12) (-8 + -1x) = 3(x + -12) Reorder the terms: -8 + -1x = 3(-12 + x) -8 + -1x = (-12 * 3 + x * 3) -8 + -1x = (-36 + 3x) Solving -8 + -1x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -1x + -3x = -36 + 3x + -3x Combine like terms: -1x + -3x = -4x -8 + -4x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -4x = -36 + 0 -8 + -4x = -36 Add '8' to each side of the equation. -8 + 8 + -4x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -36 + 8 -4x = -36 + 8 Combine like terms: -36 + 8 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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