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Simplifying (x + -2) + -1(x + -5) + 20 = (7 + -1x) + -8 Reorder the terms: (-2 + x) + -1(x + -5) + 20 = (7 + -1x) + -8 Remove parenthesis around (-2 + x) -2 + x + -1(x + -5) + 20 = (7 + -1x) + -8 Reorder the terms: -2 + x + -1(-5 + x) + 20 = (7 + -1x) + -8 -2 + x + (-5 * -1 + x * -1) + 20 = (7 + -1x) + -8 -2 + x + (5 + -1x) + 20 = (7 + -1x) + -8 Reorder the terms: -2 + 5 + 20 + x + -1x = (7 + -1x) + -8 Combine like terms: -2 + 5 = 3 3 + 20 + x + -1x = (7 + -1x) + -8 Combine like terms: 3 + 20 = 23 23 + x + -1x = (7 + -1x) + -8 Combine like terms: x + -1x = 0 23 + 0 = (7 + -1x) + -8 23 = (7 + -1x) + -8 Remove parenthesis around (7 + -1x) 23 = 7 + -1x + -8 Reorder the terms: 23 = 7 + -8 + -1x Combine like terms: 7 + -8 = -1 23 = -1 + -1x Solving 23 = -1 + -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. 23 + x = -1 + -1x + x Combine like terms: -1x + x = 0 23 + x = -1 + 0 23 + x = -1 Add '-23' to each side of the equation. 23 + -23 + x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + x = -1 + -23 x = -1 + -23 Combine like terms: -1 + -23 = -24 x = -24 Simplifying x = -24
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