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Simplifying 2x + -1(x + -5) = 13 + 2x Reorder the terms: 2x + -1(-5 + x) = 13 + 2x 2x + (-5 * -1 + x * -1) = 13 + 2x 2x + (5 + -1x) = 13 + 2x Reorder the terms: 5 + 2x + -1x = 13 + 2x Combine like terms: 2x + -1x = 1x 5 + 1x = 13 + 2x Solving 5 + 1x = 13 + 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. 5 + 1x + -2x = 13 + 2x + -2x Combine like terms: 1x + -2x = -1x 5 + -1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = 13 + 0 5 + -1x = 13 Add '-5' to each side of the equation. 5 + -5 + -1x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 13 + -5 -1x = 13 + -5 Combine like terms: 13 + -5 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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