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