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Simplifying (x + 4)(2x + 4) + -1x(2x) = 136 Reorder the terms: (4 + x)(2x + 4) + -1x(2x) = 136 Reorder the terms: (4 + x)(4 + 2x) + -1x(2x) = 136 Multiply (4 + x) * (4 + 2x) (4(4 + 2x) + x(4 + 2x)) + -1x(2x) = 136 ((4 * 4 + 2x * 4) + x(4 + 2x)) + -1x(2x) = 136 ((16 + 8x) + x(4 + 2x)) + -1x(2x) = 136 (16 + 8x + (4 * x + 2x * x)) + -1x(2x) = 136 (16 + 8x + (4x + 2x2)) + -1x(2x) = 136 Combine like terms: 8x + 4x = 12x (16 + 12x + 2x2) + -1x(2x) = 136 Remove parenthesis around (2x) 16 + 12x + 2x2 + -1x * 2x = 136 Reorder the terms for easier multiplication: 16 + 12x + 2x2 + -1 * 2x * x = 136 Multiply -1 * 2 16 + 12x + 2x2 + -2x * x = 136 Multiply x * x 16 + 12x + 2x2 + -2x2 = 136 Combine like terms: 2x2 + -2x2 = 0 16 + 12x + 0 = 136 16 + 12x = 136 Solving 16 + 12x = 136 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12x = 136 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 136 + -16 12x = 136 + -16 Combine like terms: 136 + -16 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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