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Simplifying 13 + (2x + 2) = 2(x + 2) + 3x Reorder the terms: 13 + (2 + 2x) = 2(x + 2) + 3x Remove parenthesis around (2 + 2x) 13 + 2 + 2x = 2(x + 2) + 3x Combine like terms: 13 + 2 = 15 15 + 2x = 2(x + 2) + 3x Reorder the terms: 15 + 2x = 2(2 + x) + 3x 15 + 2x = (2 * 2 + x * 2) + 3x 15 + 2x = (4 + 2x) + 3x Combine like terms: 2x + 3x = 5x 15 + 2x = 4 + 5x Solving 15 + 2x = 4 + 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. 15 + 2x + -5x = 4 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = 4 + 0 15 + -3x = 4 Add '-15' to each side of the equation. 15 + -15 + -3x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 4 + -15 -3x = 4 + -15 Combine like terms: 4 + -15 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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