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Simplifying 2x + (2x + -1(-1x + -4)) = -1(x + -1(5 + -1x)) Reorder the terms: 2x + (2x + -1(-4 + -1x)) = -1(x + -1(5 + -1x)) 2x + (2x + (-4 * -1 + -1x * -1)) = -1(x + -1(5 + -1x)) 2x + (2x + (4 + 1x)) = -1(x + -1(5 + -1x)) Reorder the terms: 2x + (4 + 2x + 1x) = -1(x + -1(5 + -1x)) Combine like terms: 2x + 1x = 3x 2x + (4 + 3x) = -1(x + -1(5 + -1x)) Remove parenthesis around (4 + 3x) 2x + 4 + 3x = -1(x + -1(5 + -1x)) Reorder the terms: 4 + 2x + 3x = -1(x + -1(5 + -1x)) Combine like terms: 2x + 3x = 5x 4 + 5x = -1(x + -1(5 + -1x)) 4 + 5x = -1(x + (5 * -1 + -1x * -1)) 4 + 5x = -1(x + (-5 + 1x)) Reorder the terms: 4 + 5x = -1(-5 + x + 1x) Combine like terms: x + 1x = 2x 4 + 5x = -1(-5 + 2x) 4 + 5x = (-5 * -1 + 2x * -1) 4 + 5x = (5 + -2x) Solving 4 + 5x = 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. 4 + 5x + 2x = 5 + -2x + 2x Combine like terms: 5x + 2x = 7x 4 + 7x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 7x = 5 + 0 4 + 7x = 5 Add '-4' to each side of the equation. 4 + -4 + 7x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 5 + -4 7x = 5 + -4 Combine like terms: 5 + -4 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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