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Simplifying 3(x + 3) = 5(2 + -1x) + -2 Reorder the terms: 3(3 + x) = 5(2 + -1x) + -2 (3 * 3 + x * 3) = 5(2 + -1x) + -2 (9 + 3x) = 5(2 + -1x) + -2 9 + 3x = (2 * 5 + -1x * 5) + -2 9 + 3x = (10 + -5x) + -2 Reorder the terms: 9 + 3x = 10 + -2 + -5x Combine like terms: 10 + -2 = 8 9 + 3x = 8 + -5x Solving 9 + 3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 3x + 5x = 8 + -5x + 5x Combine like terms: 3x + 5x = 8x 9 + 8x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 8x = 8 + 0 9 + 8x = 8 Add '-9' to each side of the equation. 9 + -9 + 8x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 8 + -9 8x = 8 + -9 Combine like terms: 8 + -9 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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