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Simplifying x(8x + -4) = (8x + 9)(x + -2) Reorder the terms: x(-4 + 8x) = (8x + 9)(x + -2) (-4 * x + 8x * x) = (8x + 9)(x + -2) (-4x + 8x2) = (8x + 9)(x + -2) Reorder the terms: -4x + 8x2 = (9 + 8x)(x + -2) Reorder the terms: -4x + 8x2 = (9 + 8x)(-2 + x) Multiply (9 + 8x) * (-2 + x) -4x + 8x2 = (9(-2 + x) + 8x * (-2 + x)) -4x + 8x2 = ((-2 * 9 + x * 9) + 8x * (-2 + x)) -4x + 8x2 = ((-18 + 9x) + 8x * (-2 + x)) -4x + 8x2 = (-18 + 9x + (-2 * 8x + x * 8x)) -4x + 8x2 = (-18 + 9x + (-16x + 8x2)) Combine like terms: 9x + -16x = -7x -4x + 8x2 = (-18 + -7x + 8x2) Add '-8x2' to each side of the equation. -4x + 8x2 + -8x2 = -18 + -7x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x + 0 = -18 + -7x + 8x2 + -8x2 -4x = -18 + -7x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x = -18 + -7x + 0 -4x = -18 + -7x Solving -4x = -18 + -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. -4x + 7x = -18 + -7x + 7x Combine like terms: -4x + 7x = 3x 3x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 3x = -18 + 0 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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