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Simplifying -1(3x + -12) = -1(-1x + 12) Reorder the terms: -1(-12 + 3x) = -1(-1x + 12) (-12 * -1 + 3x * -1) = -1(-1x + 12) (12 + -3x) = -1(-1x + 12) Reorder the terms: 12 + -3x = -1(12 + -1x) 12 + -3x = (12 * -1 + -1x * -1) 12 + -3x = (-12 + 1x) Solving 12 + -3x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -3x + -1x = -12 + 1x + -1x Combine like terms: -3x + -1x = -4x 12 + -4x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -4x = -12 + 0 12 + -4x = -12 Add '-12' to each side of the equation. 12 + -12 + -4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -12 + -12 -4x = -12 + -12 Combine like terms: -12 + -12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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