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Simplifying x2 + -1(x + -2)(x + -2) = 48 Reorder the terms: x2 + -1(-2 + x)(x + -2) = 48 Reorder the terms: x2 + -1(-2 + x)(-2 + x) = 48 Multiply (-2 + x) * (-2 + x) x2 + -1(-2(-2 + x) + x(-2 + x)) = 48 x2 + -1((-2 * -2 + x * -2) + x(-2 + x)) = 48 x2 + -1((4 + -2x) + x(-2 + x)) = 48 x2 + -1(4 + -2x + (-2 * x + x * x)) = 48 x2 + -1(4 + -2x + (-2x + x2)) = 48 Combine like terms: -2x + -2x = -4x x2 + -1(4 + -4x + x2) = 48 x2 + (4 * -1 + -4x * -1 + x2 * -1) = 48 x2 + (-4 + 4x + -1x2) = 48 Reorder the terms: -4 + 4x + x2 + -1x2 = 48 Combine like terms: x2 + -1x2 = 0 -4 + 4x + 0 = 48 -4 + 4x = 48 Solving -4 + 4x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 48 + 4 4x = 48 + 4 Combine like terms: 48 + 4 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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