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Simplifying -12(x + -4) = 3(x + -24) Reorder the terms: -12(-4 + x) = 3(x + -24) (-4 * -12 + x * -12) = 3(x + -24) (48 + -12x) = 3(x + -24) Reorder the terms: 48 + -12x = 3(-24 + x) 48 + -12x = (-24 * 3 + x * 3) 48 + -12x = (-72 + 3x) Solving 48 + -12x = -72 + 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. 48 + -12x + -3x = -72 + 3x + -3x Combine like terms: -12x + -3x = -15x 48 + -15x = -72 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + -15x = -72 + 0 48 + -15x = -72 Add '-48' to each side of the equation. 48 + -48 + -15x = -72 + -48 Combine like terms: 48 + -48 = 0 0 + -15x = -72 + -48 -15x = -72 + -48 Combine like terms: -72 + -48 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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