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Simplifying (x + 12)(x + 4) = (x)(x + 8) Reorder the terms: (12 + x)(x + 4) = (x)(x + 8) Reorder the terms: (12 + x)(4 + x) = (x)(x + 8) Multiply (12 + x) * (4 + x) (12(4 + x) + x(4 + x)) = (x)(x + 8) ((4 * 12 + x * 12) + x(4 + x)) = (x)(x + 8) ((48 + 12x) + x(4 + x)) = (x)(x + 8) (48 + 12x + (4 * x + x * x)) = (x)(x + 8) (48 + 12x + (4x + x2)) = (x)(x + 8) Combine like terms: 12x + 4x = 16x (48 + 16x + x2) = (x)(x + 8) Reorder the terms: 48 + 16x + x2 = x(8 + x) 48 + 16x + x2 = (8 * x + x * x) 48 + 16x + x2 = (8x + x2) Add '-1x2' to each side of the equation. 48 + 16x + x2 + -1x2 = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 48 + 16x + 0 = 8x + x2 + -1x2 48 + 16x = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 48 + 16x = 8x + 0 48 + 16x = 8x Solving 48 + 16x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 16x + -8x = 8x + -8x Combine like terms: 16x + -8x = 8x 48 + 8x = 8x + -8x Combine like terms: 8x + -8x = 0 48 + 8x = 0 Add '-48' to each side of the equation. 48 + -48 + 8x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 0 + -48 8x = 0 + -48 Combine like terms: 0 + -48 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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