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Simplifying 3(x + 3) + -5x = 2x + 5(x + -1) Reorder the terms: 3(3 + x) + -5x = 2x + 5(x + -1) (3 * 3 + x * 3) + -5x = 2x + 5(x + -1) (9 + 3x) + -5x = 2x + 5(x + -1) Combine like terms: 3x + -5x = -2x 9 + -2x = 2x + 5(x + -1) Reorder the terms: 9 + -2x = 2x + 5(-1 + x) 9 + -2x = 2x + (-1 * 5 + x * 5) 9 + -2x = 2x + (-5 + 5x) Reorder the terms: 9 + -2x = -5 + 2x + 5x Combine like terms: 2x + 5x = 7x 9 + -2x = -5 + 7x Solving 9 + -2x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + -2x + -7x = -5 + 7x + -7x Combine like terms: -2x + -7x = -9x 9 + -9x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -9x = -5 + 0 9 + -9x = -5 Add '-9' to each side of the equation. 9 + -9 + -9x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -5 + -9 -9x = -5 + -9 Combine like terms: -5 + -9 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556
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