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Simplifying 4x + (x + 2)(x + -2) = x(x + 2) Reorder the terms: 4x + (2 + x)(x + -2) = x(x + 2) Reorder the terms: 4x + (2 + x)(-2 + x) = x(x + 2) Multiply (2 + x) * (-2 + x) 4x + (2(-2 + x) + x(-2 + x)) = x(x + 2) 4x + ((-2 * 2 + x * 2) + x(-2 + x)) = x(x + 2) 4x + ((-4 + 2x) + x(-2 + x)) = x(x + 2) 4x + (-4 + 2x + (-2 * x + x * x)) = x(x + 2) 4x + (-4 + 2x + (-2x + x2)) = x(x + 2) Combine like terms: 2x + -2x = 0 4x + (-4 + 0 + x2) = x(x + 2) 4x + (-4 + x2) = x(x + 2) Reorder the terms: -4 + 4x + x2 = x(x + 2) Reorder the terms: -4 + 4x + x2 = x(2 + x) -4 + 4x + x2 = (2 * x + x * x) -4 + 4x + x2 = (2x + x2) Add '-1x2' to each side of the equation. -4 + 4x + x2 + -1x2 = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 4x + 0 = 2x + x2 + -1x2 -4 + 4x = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 4x = 2x + 0 -4 + 4x = 2x Solving -4 + 4x = 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 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 0 Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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