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Simplifying 2(6x + -24) = 12(6x + 6) Reorder the terms: 2(-24 + 6x) = 12(6x + 6) (-24 * 2 + 6x * 2) = 12(6x + 6) (-48 + 12x) = 12(6x + 6) Reorder the terms: -48 + 12x = 12(6 + 6x) -48 + 12x = (6 * 12 + 6x * 12) -48 + 12x = (72 + 72x) Solving -48 + 12x = 72 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -48 + 12x + -72x = 72 + 72x + -72x Combine like terms: 12x + -72x = -60x -48 + -60x = 72 + 72x + -72x Combine like terms: 72x + -72x = 0 -48 + -60x = 72 + 0 -48 + -60x = 72 Add '48' to each side of the equation. -48 + 48 + -60x = 72 + 48 Combine like terms: -48 + 48 = 0 0 + -60x = 72 + 48 -60x = 72 + 48 Combine like terms: 72 + 48 = 120 -60x = 120 Divide each side by '-60'. x = -2 Simplifying x = -2
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