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Simplifying x(2x + -9) = (2x + 6)(x + -9) Reorder the terms: x(-9 + 2x) = (2x + 6)(x + -9) (-9 * x + 2x * x) = (2x + 6)(x + -9) (-9x + 2x2) = (2x + 6)(x + -9) Reorder the terms: -9x + 2x2 = (6 + 2x)(x + -9) Reorder the terms: -9x + 2x2 = (6 + 2x)(-9 + x) Multiply (6 + 2x) * (-9 + x) -9x + 2x2 = (6(-9 + x) + 2x * (-9 + x)) -9x + 2x2 = ((-9 * 6 + x * 6) + 2x * (-9 + x)) -9x + 2x2 = ((-54 + 6x) + 2x * (-9 + x)) -9x + 2x2 = (-54 + 6x + (-9 * 2x + x * 2x)) -9x + 2x2 = (-54 + 6x + (-18x + 2x2)) Combine like terms: 6x + -18x = -12x -9x + 2x2 = (-54 + -12x + 2x2) Add '-2x2' to each side of the equation. -9x + 2x2 + -2x2 = -54 + -12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x + 0 = -54 + -12x + 2x2 + -2x2 -9x = -54 + -12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x = -54 + -12x + 0 -9x = -54 + -12x Solving -9x = -54 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -9x + 12x = -54 + -12x + 12x Combine like terms: -9x + 12x = 3x 3x = -54 + -12x + 12x Combine like terms: -12x + 12x = 0 3x = -54 + 0 3x = -54 Divide each side by '3'. x = -18 Simplifying x = -18
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