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Simplifying -4(6x + 3) = -12(x + 10) Reorder the terms: -4(3 + 6x) = -12(x + 10) (3 * -4 + 6x * -4) = -12(x + 10) (-12 + -24x) = -12(x + 10) Reorder the terms: -12 + -24x = -12(10 + x) -12 + -24x = (10 * -12 + x * -12) -12 + -24x = (-120 + -12x) Solving -12 + -24x = -120 + -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. -12 + -24x + 12x = -120 + -12x + 12x Combine like terms: -24x + 12x = -12x -12 + -12x = -120 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + -12x = -120 + 0 -12 + -12x = -120 Add '12' to each side of the equation. -12 + 12 + -12x = -120 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = -120 + 12 -12x = -120 + 12 Combine like terms: -120 + 12 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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