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Simplifying -12(10x + -2) = -4(12 + 12x) Reorder the terms: -12(-2 + 10x) = -4(12 + 12x) (-2 * -12 + 10x * -12) = -4(12 + 12x) (24 + -120x) = -4(12 + 12x) 24 + -120x = (12 * -4 + 12x * -4) 24 + -120x = (-48 + -48x) Solving 24 + -120x = -48 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 24 + -120x + 48x = -48 + -48x + 48x Combine like terms: -120x + 48x = -72x 24 + -72x = -48 + -48x + 48x Combine like terms: -48x + 48x = 0 24 + -72x = -48 + 0 24 + -72x = -48 Add '-24' to each side of the equation. 24 + -24 + -72x = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -72x = -48 + -24 -72x = -48 + -24 Combine like terms: -48 + -24 = -72 -72x = -72 Divide each side by '-72'. x = 1 Simplifying x = 1
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