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Simplifying (x + -1) + -1(x + -4) = -1(2x + -5) Reorder the terms: (-1 + x) + -1(x + -4) = -1(2x + -5) Remove parenthesis around (-1 + x) -1 + x + -1(x + -4) = -1(2x + -5) Reorder the terms: -1 + x + -1(-4 + x) = -1(2x + -5) -1 + x + (-4 * -1 + x * -1) = -1(2x + -5) -1 + x + (4 + -1x) = -1(2x + -5) Reorder the terms: -1 + 4 + x + -1x = -1(2x + -5) Combine like terms: -1 + 4 = 3 3 + x + -1x = -1(2x + -5) Combine like terms: x + -1x = 0 3 + 0 = -1(2x + -5) 3 = -1(2x + -5) Reorder the terms: 3 = -1(-5 + 2x) 3 = (-5 * -1 + 2x * -1) 3 = (5 + -2x) Solving 3 = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 2x = 5 + 0 3 + 2x = 5 Add '-3' to each side of the equation. 3 + -3 + 2x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 5 + -3 2x = 5 + -3 Combine like terms: 5 + -3 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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