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Simplifying x(2x + -8) = (2x + 9)(x + -8) Reorder the terms: x(-8 + 2x) = (2x + 9)(x + -8) (-8 * x + 2x * x) = (2x + 9)(x + -8) (-8x + 2x2) = (2x + 9)(x + -8) Reorder the terms: -8x + 2x2 = (9 + 2x)(x + -8) Reorder the terms: -8x + 2x2 = (9 + 2x)(-8 + x) Multiply (9 + 2x) * (-8 + x) -8x + 2x2 = (9(-8 + x) + 2x * (-8 + x)) -8x + 2x2 = ((-8 * 9 + x * 9) + 2x * (-8 + x)) -8x + 2x2 = ((-72 + 9x) + 2x * (-8 + x)) -8x + 2x2 = (-72 + 9x + (-8 * 2x + x * 2x)) -8x + 2x2 = (-72 + 9x + (-16x + 2x2)) Combine like terms: 9x + -16x = -7x -8x + 2x2 = (-72 + -7x + 2x2) Add '-2x2' to each side of the equation. -8x + 2x2 + -2x2 = -72 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + 0 = -72 + -7x + 2x2 + -2x2 -8x = -72 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x = -72 + -7x + 0 -8x = -72 + -7x Solving -8x = -72 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8x + 7x = -72 + -7x + 7x Combine like terms: -8x + 7x = -1x -1x = -72 + -7x + 7x Combine like terms: -7x + 7x = 0 -1x = -72 + 0 -1x = -72 Divide each side by '-1'. x = 72 Simplifying x = 72
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