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Simplifying (x + 2)(x + 4) + -1(x + 2) * x = 57 Reorder the terms: (2 + x)(x + 4) + -1(x + 2) * x = 57 Reorder the terms: (2 + x)(4 + x) + -1(x + 2) * x = 57 Multiply (2 + x) * (4 + x) (2(4 + x) + x(4 + x)) + -1(x + 2) * x = 57 ((4 * 2 + x * 2) + x(4 + x)) + -1(x + 2) * x = 57 ((8 + 2x) + x(4 + x)) + -1(x + 2) * x = 57 (8 + 2x + (4 * x + x * x)) + -1(x + 2) * x = 57 (8 + 2x + (4x + x2)) + -1(x + 2) * x = 57 Combine like terms: 2x + 4x = 6x (8 + 6x + x2) + -1(x + 2) * x = 57 Reorder the terms: 8 + 6x + x2 + -1(2 + x) * x = 57 Reorder the terms for easier multiplication: 8 + 6x + x2 + -1x(2 + x) = 57 8 + 6x + x2 + (2 * -1x + x * -1x) = 57 8 + 6x + x2 + (-2x + -1x2) = 57 Reorder the terms: 8 + 6x + -2x + x2 + -1x2 = 57 Combine like terms: 6x + -2x = 4x 8 + 4x + x2 + -1x2 = 57 Combine like terms: x2 + -1x2 = 0 8 + 4x + 0 = 57 8 + 4x = 57 Solving 8 + 4x = 57 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 = 57 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 57 + -8 4x = 57 + -8 Combine like terms: 57 + -8 = 49 4x = 49 Divide each side by '4'. x = 12.25 Simplifying x = 12.25
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