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Simplifying 4x(x + 8) = (4x + -2)(x + 9) Reorder the terms: 4x(8 + x) = (4x + -2)(x + 9) (8 * 4x + x * 4x) = (4x + -2)(x + 9) (32x + 4x2) = (4x + -2)(x + 9) Reorder the terms: 32x + 4x2 = (-2 + 4x)(x + 9) Reorder the terms: 32x + 4x2 = (-2 + 4x)(9 + x) Multiply (-2 + 4x) * (9 + x) 32x + 4x2 = (-2(9 + x) + 4x * (9 + x)) 32x + 4x2 = ((9 * -2 + x * -2) + 4x * (9 + x)) 32x + 4x2 = ((-18 + -2x) + 4x * (9 + x)) 32x + 4x2 = (-18 + -2x + (9 * 4x + x * 4x)) 32x + 4x2 = (-18 + -2x + (36x + 4x2)) Combine like terms: -2x + 36x = 34x 32x + 4x2 = (-18 + 34x + 4x2) Add '-4x2' to each side of the equation. 32x + 4x2 + -4x2 = -18 + 34x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 32x + 0 = -18 + 34x + 4x2 + -4x2 32x = -18 + 34x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 32x = -18 + 34x + 0 32x = -18 + 34x Solving 32x = -18 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 32x + -34x = -18 + 34x + -34x Combine like terms: 32x + -34x = -2x -2x = -18 + 34x + -34x Combine like terms: 34x + -34x = 0 -2x = -18 + 0 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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