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Simplifying 2(x + 1) + 13 = 3x + 8 Reorder the terms: 2(1 + x) + 13 = 3x + 8 (1 * 2 + x * 2) + 13 = 3x + 8 (2 + 2x) + 13 = 3x + 8 Reorder the terms: 2 + 13 + 2x = 3x + 8 Combine like terms: 2 + 13 = 15 15 + 2x = 3x + 8 Reorder the terms: 15 + 2x = 8 + 3x Solving 15 + 2x = 8 + 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. 15 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 15 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -1x = 8 + 0 15 + -1x = 8 Add '-15' to each side of the equation. 15 + -15 + -1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 8 + -15 -1x = 8 + -15 Combine like terms: 8 + -15 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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