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Simplifying (x + -5) + -1(x + 4) = (x + 4) + -1(2x + 5) Reorder the terms: (-5 + x) + -1(x + 4) = (x + 4) + -1(2x + 5) Remove parenthesis around (-5 + x) -5 + x + -1(x + 4) = (x + 4) + -1(2x + 5) Reorder the terms: -5 + x + -1(4 + x) = (x + 4) + -1(2x + 5) -5 + x + (4 * -1 + x * -1) = (x + 4) + -1(2x + 5) -5 + x + (-4 + -1x) = (x + 4) + -1(2x + 5) Reorder the terms: -5 + -4 + x + -1x = (x + 4) + -1(2x + 5) Combine like terms: -5 + -4 = -9 -9 + x + -1x = (x + 4) + -1(2x + 5) Combine like terms: x + -1x = 0 -9 + 0 = (x + 4) + -1(2x + 5) -9 = (x + 4) + -1(2x + 5) Reorder the terms: -9 = (4 + x) + -1(2x + 5) Remove parenthesis around (4 + x) -9 = 4 + x + -1(2x + 5) Reorder the terms: -9 = 4 + x + -1(5 + 2x) -9 = 4 + x + (5 * -1 + 2x * -1) -9 = 4 + x + (-5 + -2x) Reorder the terms: -9 = 4 + -5 + x + -2x Combine like terms: 4 + -5 = -1 -9 = -1 + x + -2x Combine like terms: x + -2x = -1x -9 = -1 + -1x Solving -9 = -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. -9 + x = -1 + -1x + x Combine like terms: -1x + x = 0 -9 + x = -1 + 0 -9 + x = -1 Add '9' to each side of the equation. -9 + 9 + x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + x = -1 + 9 x = -1 + 9 Combine like terms: -1 + 9 = 8 x = 8 Simplifying x = 8
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