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Simplifying -4(x + -2) = 12x + -40 Reorder the terms: -4(-2 + x) = 12x + -40 (-2 * -4 + x * -4) = 12x + -40 (8 + -4x) = 12x + -40 Reorder the terms: 8 + -4x = -40 + 12x Solving 8 + -4x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -4x + -12x = -40 + 12x + -12x Combine like terms: -4x + -12x = -16x 8 + -16x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -16x = -40 + 0 8 + -16x = -40 Add '-8' to each side of the equation. 8 + -8 + -16x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -40 + -8 -16x = -40 + -8 Combine like terms: -40 + -8 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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