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Simplifying 3x + 2(x + 2) = 13 + -1(2x + -5) Reorder the terms: 3x + 2(2 + x) = 13 + -1(2x + -5) 3x + (2 * 2 + x * 2) = 13 + -1(2x + -5) 3x + (4 + 2x) = 13 + -1(2x + -5) Reorder the terms: 4 + 3x + 2x = 13 + -1(2x + -5) Combine like terms: 3x + 2x = 5x 4 + 5x = 13 + -1(2x + -5) Reorder the terms: 4 + 5x = 13 + -1(-5 + 2x) 4 + 5x = 13 + (-5 * -1 + 2x * -1) 4 + 5x = 13 + (5 + -2x) Combine like terms: 13 + 5 = 18 4 + 5x = 18 + -2x Solving 4 + 5x = 18 + -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 = 18 + -2x + 2x Combine like terms: 5x + 2x = 7x 4 + 7x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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