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Simplifying -2(x + 1) + 5 = 3(x + 1) + -2 Reorder the terms: -2(1 + x) + 5 = 3(x + 1) + -2 (1 * -2 + x * -2) + 5 = 3(x + 1) + -2 (-2 + -2x) + 5 = 3(x + 1) + -2 Reorder the terms: -2 + 5 + -2x = 3(x + 1) + -2 Combine like terms: -2 + 5 = 3 3 + -2x = 3(x + 1) + -2 Reorder the terms: 3 + -2x = 3(1 + x) + -2 3 + -2x = (1 * 3 + x * 3) + -2 3 + -2x = (3 + 3x) + -2 Reorder the terms: 3 + -2x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 3 + -2x = 1 + 3x Solving 3 + -2x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -2x + -3x = 1 + 3x + -3x Combine like terms: -2x + -3x = -5x 3 + -5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -5x = 1 + 0 3 + -5x = 1 Add '-3' to each side of the equation. 3 + -3 + -5x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 1 + -3 -5x = 1 + -3 Combine like terms: 1 + -3 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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