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Simplifying (12 + -3x) * 2 = 9(7x + 18) Reorder the terms for easier multiplication: 2(12 + -3x) = 9(7x + 18) (12 * 2 + -3x * 2) = 9(7x + 18) (24 + -6x) = 9(7x + 18) Reorder the terms: 24 + -6x = 9(18 + 7x) 24 + -6x = (18 * 9 + 7x * 9) 24 + -6x = (162 + 63x) Solving 24 + -6x = 162 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 24 + -6x + -63x = 162 + 63x + -63x Combine like terms: -6x + -63x = -69x 24 + -69x = 162 + 63x + -63x Combine like terms: 63x + -63x = 0 24 + -69x = 162 + 0 24 + -69x = 162 Add '-24' to each side of the equation. 24 + -24 + -69x = 162 + -24 Combine like terms: 24 + -24 = 0 0 + -69x = 162 + -24 -69x = 162 + -24 Combine like terms: 162 + -24 = 138 -69x = 138 Divide each side by '-69'. x = -2 Simplifying x = -2
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