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Simplifying 12 + 6(10 + -8x) = 12 + -18x 12 + (10 * 6 + -8x * 6) = 12 + -18x 12 + (60 + -48x) = 12 + -18x Combine like terms: 12 + 60 = 72 72 + -48x = 12 + -18x Solving 72 + -48x = 12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 72 + -48x + 18x = 12 + -18x + 18x Combine like terms: -48x + 18x = -30x 72 + -30x = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 72 + -30x = 12 + 0 72 + -30x = 12 Add '-72' to each side of the equation. 72 + -72 + -30x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -30x = 12 + -72 -30x = 12 + -72 Combine like terms: 12 + -72 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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