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Simplifying 2x + 5 = 3(x + 2) + -2 Reorder the terms: 5 + 2x = 3(x + 2) + -2 Reorder the terms: 5 + 2x = 3(2 + x) + -2 5 + 2x = (2 * 3 + x * 3) + -2 5 + 2x = (6 + 3x) + -2 Reorder the terms: 5 + 2x = 6 + -2 + 3x Combine like terms: 6 + -2 = 4 5 + 2x = 4 + 3x Solving 5 + 2x = 4 + 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 = 4 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 4 + 0 5 + -1x = 4 Add '-5' to each side of the equation. 5 + -5 + -1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 4 + -5 -1x = 4 + -5 Combine like terms: 4 + -5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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