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Simplifying 20 + -1(8 + 1x) = -1(1 + -1x) + 29 20 + (8 * -1 + 1x * -1) = -1(1 + -1x) + 29 20 + (-8 + -1x) = -1(1 + -1x) + 29 Combine like terms: 20 + -8 = 12 12 + -1x = -1(1 + -1x) + 29 12 + -1x = (1 * -1 + -1x * -1) + 29 12 + -1x = (-1 + 1x) + 29 Reorder the terms: 12 + -1x = -1 + 29 + 1x Combine like terms: -1 + 29 = 28 12 + -1x = 28 + 1x Solving 12 + -1x = 28 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -1x + -1x = 28 + 1x + -1x Combine like terms: -1x + -1x = -2x 12 + -2x = 28 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -2x = 28 + 0 12 + -2x = 28 Add '-12' to each side of the equation. 12 + -12 + -2x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 28 + -12 -2x = 28 + -12 Combine like terms: 28 + -12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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