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