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Simplifying 23(3x + -9) = 12(5x + -9) Reorder the terms: 23(-9 + 3x) = 12(5x + -9) (-9 * 23 + 3x * 23) = 12(5x + -9) (-207 + 69x) = 12(5x + -9) Reorder the terms: -207 + 69x = 12(-9 + 5x) -207 + 69x = (-9 * 12 + 5x * 12) -207 + 69x = (-108 + 60x) Solving -207 + 69x = -108 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -207 + 69x + -60x = -108 + 60x + -60x Combine like terms: 69x + -60x = 9x -207 + 9x = -108 + 60x + -60x Combine like terms: 60x + -60x = 0 -207 + 9x = -108 + 0 -207 + 9x = -108 Add '207' to each side of the equation. -207 + 207 + 9x = -108 + 207 Combine like terms: -207 + 207 = 0 0 + 9x = -108 + 207 9x = -108 + 207 Combine like terms: -108 + 207 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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