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Simplifying -1 + -2(2x + -1) = 5x + -1(5 + -3x) Reorder the terms: -1 + -2(-1 + 2x) = 5x + -1(5 + -3x) -1 + (-1 * -2 + 2x * -2) = 5x + -1(5 + -3x) -1 + (2 + -4x) = 5x + -1(5 + -3x) Combine like terms: -1 + 2 = 1 1 + -4x = 5x + -1(5 + -3x) 1 + -4x = 5x + (5 * -1 + -3x * -1) 1 + -4x = 5x + (-5 + 3x) Reorder the terms: 1 + -4x = -5 + 5x + 3x Combine like terms: 5x + 3x = 8x 1 + -4x = -5 + 8x Solving 1 + -4x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -4x + -8x = -5 + 8x + -8x Combine like terms: -4x + -8x = -12x 1 + -12x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -12x = -5 + 0 1 + -12x = -5 Add '-1' to each side of the equation. 1 + -1 + -12x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -5 + -1 -12x = -5 + -1 Combine like terms: -5 + -1 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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