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Simplifying -4(x + 2) = -1(3x + -12) Reorder the terms: -4(2 + x) = -1(3x + -12) (2 * -4 + x * -4) = -1(3x + -12) (-8 + -4x) = -1(3x + -12) Reorder the terms: -8 + -4x = -1(-12 + 3x) -8 + -4x = (-12 * -1 + 3x * -1) -8 + -4x = (12 + -3x) Solving -8 + -4x = 12 + -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 + -4x + 3x = 12 + -3x + 3x Combine like terms: -4x + 3x = -1x -8 + -1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + -1x = 12 + 0 -8 + -1x = 12 Add '8' to each side of the equation. -8 + 8 + -1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 12 + 8 -1x = 12 + 8 Combine like terms: 12 + 8 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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