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Simplifying 13 + -1(5 + -2x) = -1x + -2(3 + -5x) 13 + (5 * -1 + -2x * -1) = -1x + -2(3 + -5x) 13 + (-5 + 2x) = -1x + -2(3 + -5x) Combine like terms: 13 + -5 = 8 8 + 2x = -1x + -2(3 + -5x) 8 + 2x = -1x + (3 * -2 + -5x * -2) 8 + 2x = -1x + (-6 + 10x) Reorder the terms: 8 + 2x = -6 + -1x + 10x Combine like terms: -1x + 10x = 9x 8 + 2x = -6 + 9x Solving 8 + 2x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 2x + -9x = -6 + 9x + -9x Combine like terms: 2x + -9x = -7x 8 + -7x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -7x = -6 + 0 8 + -7x = -6 Add '-8' to each side of the equation. 8 + -8 + -7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -6 + -8 -7x = -6 + -8 Combine like terms: -6 + -8 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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