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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 = 3 3 + -4x = 5x + -1(5 + -3x) 3 + -4x = 5x + (5 * -1 + -3x * -1) 3 + -4x = 5x + (-5 + 3x) Reorder the terms: 3 + -4x = -5 + 5x + 3x Combine like terms: 5x + 3x = 8x 3 + -4x = -5 + 8x Solving 3 + -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. 3 + -4x + -8x = -5 + 8x + -8x Combine like terms: -4x + -8x = -12x 3 + -12x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -12x = -5 + 0 3 + -12x = -5 Add '-3' to each side of the equation. 3 + -3 + -12x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = -5 + -3 -12x = -5 + -3 Combine like terms: -5 + -3 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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