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