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