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Simplifying x(2x + -6) = (2x + 9)(x + -3) Reorder the terms: x(-6 + 2x) = (2x + 9)(x + -3) (-6 * x + 2x * x) = (2x + 9)(x + -3) (-6x + 2x2) = (2x + 9)(x + -3) Reorder the terms: -6x + 2x2 = (9 + 2x)(x + -3) Reorder the terms: -6x + 2x2 = (9 + 2x)(-3 + x) Multiply (9 + 2x) * (-3 + x) -6x + 2x2 = (9(-3 + x) + 2x * (-3 + x)) -6x + 2x2 = ((-3 * 9 + x * 9) + 2x * (-3 + x)) -6x + 2x2 = ((-27 + 9x) + 2x * (-3 + x)) -6x + 2x2 = (-27 + 9x + (-3 * 2x + x * 2x)) -6x + 2x2 = (-27 + 9x + (-6x + 2x2)) Combine like terms: 9x + -6x = 3x -6x + 2x2 = (-27 + 3x + 2x2) Add '-2x2' to each side of the equation. -6x + 2x2 + -2x2 = -27 + 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 = -27 + 3x + 2x2 + -2x2 -6x = -27 + 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x = -27 + 3x + 0 -6x = -27 + 3x Solving -6x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6x + -3x = -27 + 3x + -3x Combine like terms: -6x + -3x = -9x -9x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -9x = -27 + 0 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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