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Simplifying 9(-2x + 9) = 3(6x + -9) Reorder the terms: 9(9 + -2x) = 3(6x + -9) (9 * 9 + -2x * 9) = 3(6x + -9) (81 + -18x) = 3(6x + -9) Reorder the terms: 81 + -18x = 3(-9 + 6x) 81 + -18x = (-9 * 3 + 6x * 3) 81 + -18x = (-27 + 18x) Solving 81 + -18x = -27 + 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. 81 + -18x + -18x = -27 + 18x + -18x Combine like terms: -18x + -18x = -36x 81 + -36x = -27 + 18x + -18x Combine like terms: 18x + -18x = 0 81 + -36x = -27 + 0 81 + -36x = -27 Add '-81' to each side of the equation. 81 + -81 + -36x = -27 + -81 Combine like terms: 81 + -81 = 0 0 + -36x = -27 + -81 -36x = -27 + -81 Combine like terms: -27 + -81 = -108 -36x = -108 Divide each side by '-36'. x = 3 Simplifying x = 3
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