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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 = -4x (-16 + -4x + 2x2) + -1x(2x) = 136 Remove parenthesis around (2x) -16 + -4x + 2x2 + -1x * 2x = 136 Reorder the terms for easier multiplication: -16 + -4x + 2x2 + -1 * 2x * x = 136 Multiply -1 * 2 -16 + -4x + 2x2 + -2x * x = 136 Multiply x * x -16 + -4x + 2x2 + -2x2 = 136 Combine like terms: 2x2 + -2x2 = 0 -16 + -4x + 0 = 136 -16 + -4x = 136 Solving -16 + -4x = 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 + -4x = 136 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 136 + 16 -4x = 136 + 16 Combine like terms: 136 + 16 = 152 -4x = 152 Divide each side by '-4'. x = -38 Simplifying x = -38
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