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Simplifying 9(2x + -12) = 6(6x + 9) Reorder the terms: 9(-12 + 2x) = 6(6x + 9) (-12 * 9 + 2x * 9) = 6(6x + 9) (-108 + 18x) = 6(6x + 9) Reorder the terms: -108 + 18x = 6(9 + 6x) -108 + 18x = (9 * 6 + 6x * 6) -108 + 18x = (54 + 36x) Solving -108 + 18x = 54 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -108 + 18x + -36x = 54 + 36x + -36x Combine like terms: 18x + -36x = -18x -108 + -18x = 54 + 36x + -36x Combine like terms: 36x + -36x = 0 -108 + -18x = 54 + 0 -108 + -18x = 54 Add '108' to each side of the equation. -108 + 108 + -18x = 54 + 108 Combine like terms: -108 + 108 = 0 0 + -18x = 54 + 108 -18x = 54 + 108 Combine like terms: 54 + 108 = 162 -18x = 162 Divide each side by '-18'. x = -9 Simplifying x = -9
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