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Simplifying -12(x + 6) = 4(x + 6) Reorder the terms: -12(6 + x) = 4(x + 6) (6 * -12 + x * -12) = 4(x + 6) (-72 + -12x) = 4(x + 6) Reorder the terms: -72 + -12x = 4(6 + x) -72 + -12x = (6 * 4 + x * 4) -72 + -12x = (24 + 4x) Solving -72 + -12x = 24 + 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 = 24 + 4x + -4x Combine like terms: -12x + -4x = -16x -72 + -16x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + -16x = 24 + 0 -72 + -16x = 24 Add '72' to each side of the equation. -72 + 72 + -16x = 24 + 72 Combine like terms: -72 + 72 = 0 0 + -16x = 24 + 72 -16x = 24 + 72 Combine like terms: 24 + 72 = 96 -16x = 96 Divide each side by '-16'. x = -6 Simplifying x = -6
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