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Simplifying x(2x + -8) = (2x + 9)(x + -7) Reorder the terms: x(-8 + 2x) = (2x + 9)(x + -7) (-8 * x + 2x * x) = (2x + 9)(x + -7) (-8x + 2x2) = (2x + 9)(x + -7) Reorder the terms: -8x + 2x2 = (9 + 2x)(x + -7) Reorder the terms: -8x + 2x2 = (9 + 2x)(-7 + x) Multiply (9 + 2x) * (-7 + x) -8x + 2x2 = (9(-7 + x) + 2x * (-7 + x)) -8x + 2x2 = ((-7 * 9 + x * 9) + 2x * (-7 + x)) -8x + 2x2 = ((-63 + 9x) + 2x * (-7 + x)) -8x + 2x2 = (-63 + 9x + (-7 * 2x + x * 2x)) -8x + 2x2 = (-63 + 9x + (-14x + 2x2)) Combine like terms: 9x + -14x = -5x -8x + 2x2 = (-63 + -5x + 2x2) Add '-2x2' to each side of the equation. -8x + 2x2 + -2x2 = -63 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + 0 = -63 + -5x + 2x2 + -2x2 -8x = -63 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x = -63 + -5x + 0 -8x = -63 + -5x Solving -8x = -63 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8x + 5x = -63 + -5x + 5x Combine like terms: -8x + 5x = -3x -3x = -63 + -5x + 5x Combine like terms: -5x + 5x = 0 -3x = -63 + 0 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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