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