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Simplifying -3 + 6 + -5(x + -1) = -1(2x + -4) + -5x + 5 Reorder the terms: -3 + 6 + -5(-1 + x) = -1(2x + -4) + -5x + 5 -3 + 6 + (-1 * -5 + x * -5) = -1(2x + -4) + -5x + 5 -3 + 6 + (5 + -5x) = -1(2x + -4) + -5x + 5 Combine like terms: -3 + 6 = 3 3 + 5 + -5x = -1(2x + -4) + -5x + 5 Combine like terms: 3 + 5 = 8 8 + -5x = -1(2x + -4) + -5x + 5 Reorder the terms: 8 + -5x = -1(-4 + 2x) + -5x + 5 8 + -5x = (-4 * -1 + 2x * -1) + -5x + 5 8 + -5x = (4 + -2x) + -5x + 5 Reorder the terms: 8 + -5x = 4 + 5 + -2x + -5x Combine like terms: 4 + 5 = 9 8 + -5x = 9 + -2x + -5x Combine like terms: -2x + -5x = -7x 8 + -5x = 9 + -7x Solving 8 + -5x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + -5x + 7x = 9 + -7x + 7x Combine like terms: -5x + 7x = 2x 8 + 2x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 2x = 9 + 0 8 + 2x = 9 Add '-8' to each side of the equation. 8 + -8 + 2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 9 + -8 2x = 9 + -8 Combine like terms: 9 + -8 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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