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Simplifying 3(x + 3) = 5(1 + x) + -1 Reorder the terms: 3(3 + x) = 5(1 + x) + -1 (3 * 3 + x * 3) = 5(1 + x) + -1 (9 + 3x) = 5(1 + x) + -1 9 + 3x = (1 * 5 + x * 5) + -1 9 + 3x = (5 + 5x) + -1 Reorder the terms: 9 + 3x = 5 + -1 + 5x Combine like terms: 5 + -1 = 4 9 + 3x = 4 + 5x Solving 9 + 3x = 4 + 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 = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x 9 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -2x = 4 + 0 9 + -2x = 4 Add '-9' to each side of the equation. 9 + -9 + -2x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 4 + -9 -2x = 4 + -9 Combine like terms: 4 + -9 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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