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Simplifying 2x + (2x + -1(x + -4)) = -1(x + -5(5 + -1x)) Reorder the terms: 2x + (2x + -1(-4 + x)) = -1(x + -5(5 + -1x)) 2x + (2x + (-4 * -1 + x * -1)) = -1(x + -5(5 + -1x)) 2x + (2x + (4 + -1x)) = -1(x + -5(5 + -1x)) Reorder the terms: 2x + (4 + 2x + -1x) = -1(x + -5(5 + -1x)) Combine like terms: 2x + -1x = 1x 2x + (4 + 1x) = -1(x + -5(5 + -1x)) Remove parenthesis around (4 + 1x) 2x + 4 + 1x = -1(x + -5(5 + -1x)) Reorder the terms: 4 + 2x + 1x = -1(x + -5(5 + -1x)) Combine like terms: 2x + 1x = 3x 4 + 3x = -1(x + -5(5 + -1x)) 4 + 3x = -1(x + (5 * -5 + -1x * -5)) 4 + 3x = -1(x + (-25 + 5x)) Reorder the terms: 4 + 3x = -1(-25 + x + 5x) Combine like terms: x + 5x = 6x 4 + 3x = -1(-25 + 6x) 4 + 3x = (-25 * -1 + 6x * -1) 4 + 3x = (25 + -6x) Solving 4 + 3x = 25 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 3x + 6x = 25 + -6x + 6x Combine like terms: 3x + 6x = 9x 4 + 9x = 25 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 9x = 25 + 0 4 + 9x = 25 Add '-4' to each side of the equation. 4 + -4 + 9x = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 25 + -4 9x = 25 + -4 Combine like terms: 25 + -4 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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