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Simplifying -12(x + 6) = 4(x + -39) Reorder the terms: -12(6 + x) = 4(x + -39) (6 * -12 + x * -12) = 4(x + -39) (-72 + -12x) = 4(x + -39) Reorder the terms: -72 + -12x = 4(-39 + x) -72 + -12x = (-39 * 4 + x * 4) -72 + -12x = (-156 + 4x) Solving -72 + -12x = -156 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + -12x + -4x = -156 + 4x + -4x Combine like terms: -12x + -4x = -16x -72 + -16x = -156 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + -16x = -156 + 0 -72 + -16x = -156 Add '72' to each side of the equation. -72 + 72 + -16x = -156 + 72 Combine like terms: -72 + 72 = 0 0 + -16x = -156 + 72 -16x = -156 + 72 Combine like terms: -156 + 72 = -84 -16x = -84 Divide each side by '-16'. x = 5.25 Simplifying x = 5.25
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