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