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Simplifying 2x + -1(2 + -1x)(4 + x) = -1(2 + -1x)(2 + x) Multiply (2 + -1x) * (4 + x) 2x + -1(2(4 + x) + -1x * (4 + x)) = -1(2 + -1x)(2 + x) 2x + -1((4 * 2 + x * 2) + -1x * (4 + x)) = -1(2 + -1x)(2 + x) 2x + -1((8 + 2x) + -1x * (4 + x)) = -1(2 + -1x)(2 + x) 2x + -1(8 + 2x + (4 * -1x + x * -1x)) = -1(2 + -1x)(2 + x) 2x + -1(8 + 2x + (-4x + -1x2)) = -1(2 + -1x)(2 + x) Combine like terms: 2x + -4x = -2x 2x + -1(8 + -2x + -1x2) = -1(2 + -1x)(2 + x) 2x + (8 * -1 + -2x * -1 + -1x2 * -1) = -1(2 + -1x)(2 + x) 2x + (-8 + 2x + 1x2) = -1(2 + -1x)(2 + x) Reorder the terms: -8 + 2x + 2x + 1x2 = -1(2 + -1x)(2 + x) Combine like terms: 2x + 2x = 4x -8 + 4x + 1x2 = -1(2 + -1x)(2 + x) Multiply (2 + -1x) * (2 + x) -8 + 4x + 1x2 = -1(2(2 + x) + -1x * (2 + x)) -8 + 4x + 1x2 = -1((2 * 2 + x * 2) + -1x * (2 + x)) -8 + 4x + 1x2 = -1((4 + 2x) + -1x * (2 + x)) -8 + 4x + 1x2 = -1(4 + 2x + (2 * -1x + x * -1x)) -8 + 4x + 1x2 = -1(4 + 2x + (-2x + -1x2)) Combine like terms: 2x + -2x = 0 -8 + 4x + 1x2 = -1(4 + 0 + -1x2) -8 + 4x + 1x2 = -1(4 + -1x2) -8 + 4x + 1x2 = (4 * -1 + -1x2 * -1) -8 + 4x + 1x2 = (-4 + 1x2) Add '-1x2' to each side of the equation. -8 + 4x + 1x2 + -1x2 = -4 + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -8 + 4x + 0 = -4 + 1x2 + -1x2 -8 + 4x = -4 + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -8 + 4x = -4 + 0 -8 + 4x = -4 Solving -8 + 4x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 4x = -4 + 8 Combine like terms: -4 + 8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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