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Simplifying -4(x + -5) = 12(x + 3) Reorder the terms: -4(-5 + x) = 12(x + 3) (-5 * -4 + x * -4) = 12(x + 3) (20 + -4x) = 12(x + 3) Reorder the terms: 20 + -4x = 12(3 + x) 20 + -4x = (3 * 12 + x * 12) 20 + -4x = (36 + 12x) Solving 20 + -4x = 36 + 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. 20 + -4x + -12x = 36 + 12x + -12x Combine like terms: -4x + -12x = -16x 20 + -16x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -16x = 36 + 0 20 + -16x = 36 Add '-20' to each side of the equation. 20 + -20 + -16x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = 36 + -20 -16x = 36 + -20 Combine like terms: 36 + -20 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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