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Simplifying 9(12 + -2x) = 6(x + 2) (12 * 9 + -2x * 9) = 6(x + 2) (108 + -18x) = 6(x + 2) Reorder the terms: 108 + -18x = 6(2 + x) 108 + -18x = (2 * 6 + x * 6) 108 + -18x = (12 + 6x) Solving 108 + -18x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 108 + -18x + -6x = 12 + 6x + -6x Combine like terms: -18x + -6x = -24x 108 + -24x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 108 + -24x = 12 + 0 108 + -24x = 12 Add '-108' to each side of the equation. 108 + -108 + -24x = 12 + -108 Combine like terms: 108 + -108 = 0 0 + -24x = 12 + -108 -24x = 12 + -108 Combine like terms: 12 + -108 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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