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Simplifying 13 + -2(x + 4) = 8 + -1(x + 1) Reorder the terms: 13 + -2(4 + x) = 8 + -1(x + 1) 13 + (4 * -2 + x * -2) = 8 + -1(x + 1) 13 + (-8 + -2x) = 8 + -1(x + 1) Combine like terms: 13 + -8 = 5 5 + -2x = 8 + -1(x + 1) Reorder the terms: 5 + -2x = 8 + -1(1 + x) 5 + -2x = 8 + (1 * -1 + x * -1) 5 + -2x = 8 + (-1 + -1x) Combine like terms: 8 + -1 = 7 5 + -2x = 7 + -1x Solving 5 + -2x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -2x + x = 7 + -1x + x Combine like terms: -2x + x = -1x 5 + -1x = 7 + -1x + x Combine like terms: -1x + x = 0 5 + -1x = 7 + 0 5 + -1x = 7 Add '-5' to each side of the equation. 5 + -5 + -1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 7 + -5 -1x = 7 + -5 Combine like terms: 7 + -5 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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