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Simplifying 20 + -1(8 + x) + -1(x + 1) = 39 20 + (8 * -1 + x * -1) + -1(x + 1) = 39 20 + (-8 + -1x) + -1(x + 1) = 39 Reorder the terms: 20 + -8 + -1x + -1(1 + x) = 39 20 + -8 + -1x + (1 * -1 + x * -1) = 39 20 + -8 + -1x + (-1 + -1x) = 39 Reorder the terms: 20 + -8 + -1 + -1x + -1x = 39 Combine like terms: 20 + -8 = 12 12 + -1 + -1x + -1x = 39 Combine like terms: 12 + -1 = 11 11 + -1x + -1x = 39 Combine like terms: -1x + -1x = -2x 11 + -2x = 39 Solving 11 + -2x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 39 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 39 + -11 -2x = 39 + -11 Combine like terms: 39 + -11 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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