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Simplifying 3x + 2(x + 2) = 13 + -1(2 + 2x) Reorder the terms: 3x + 2(2 + x) = 13 + -1(2 + 2x) 3x + (2 * 2 + x * 2) = 13 + -1(2 + 2x) 3x + (4 + 2x) = 13 + -1(2 + 2x) Reorder the terms: 4 + 3x + 2x = 13 + -1(2 + 2x) Combine like terms: 3x + 2x = 5x 4 + 5x = 13 + -1(2 + 2x) 4 + 5x = 13 + (2 * -1 + 2x * -1) 4 + 5x = 13 + (-2 + -2x) Combine like terms: 13 + -2 = 11 4 + 5x = 11 + -2x Solving 4 + 5x = 11 + -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 = 11 + -2x + 2x Combine like terms: 5x + 2x = 7x 4 + 7x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 7x = 11 + 0 4 + 7x = 11 Add '-4' to each side of the equation. 4 + -4 + 7x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 11 + -4 7x = 11 + -4 Combine like terms: 11 + -4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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