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Simplifying 3(x + 1) + -5 = 5(x + 2) + -1 Reorder the terms: 3(1 + x) + -5 = 5(x + 2) + -1 (1 * 3 + x * 3) + -5 = 5(x + 2) + -1 (3 + 3x) + -5 = 5(x + 2) + -1 Reorder the terms: 3 + -5 + 3x = 5(x + 2) + -1 Combine like terms: 3 + -5 = -2 -2 + 3x = 5(x + 2) + -1 Reorder the terms: -2 + 3x = 5(2 + x) + -1 -2 + 3x = (2 * 5 + x * 5) + -1 -2 + 3x = (10 + 5x) + -1 Reorder the terms: -2 + 3x = 10 + -1 + 5x Combine like terms: 10 + -1 = 9 -2 + 3x = 9 + 5x Solving -2 + 3x = 9 + 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. -2 + 3x + -5x = 9 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = 9 + 0 -2 + -2x = 9 Add '2' to each side of the equation. -2 + 2 + -2x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 9 + 2 -2x = 9 + 2 Combine like terms: 9 + 2 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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