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Simplifying 3(x + 1) = 9(5x + -9) Reorder the terms: 3(1 + x) = 9(5x + -9) (1 * 3 + x * 3) = 9(5x + -9) (3 + 3x) = 9(5x + -9) Reorder the terms: 3 + 3x = 9(-9 + 5x) 3 + 3x = (-9 * 9 + 5x * 9) 3 + 3x = (-81 + 45x) Solving 3 + 3x = -81 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 3 + 3x + -45x = -81 + 45x + -45x Combine like terms: 3x + -45x = -42x 3 + -42x = -81 + 45x + -45x Combine like terms: 45x + -45x = 0 3 + -42x = -81 + 0 3 + -42x = -81 Add '-3' to each side of the equation. 3 + -3 + -42x = -81 + -3 Combine like terms: 3 + -3 = 0 0 + -42x = -81 + -3 -42x = -81 + -3 Combine like terms: -81 + -3 = -84 -42x = -84 Divide each side by '-42'. x = 2 Simplifying x = 2
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