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Simplifying x(2x + -9) = (2x + 6)(x + -5) Reorder the terms: x(-9 + 2x) = (2x + 6)(x + -5) (-9 * x + 2x * x) = (2x + 6)(x + -5) (-9x + 2x2) = (2x + 6)(x + -5) Reorder the terms: -9x + 2x2 = (6 + 2x)(x + -5) Reorder the terms: -9x + 2x2 = (6 + 2x)(-5 + x) Multiply (6 + 2x) * (-5 + x) -9x + 2x2 = (6(-5 + x) + 2x * (-5 + x)) -9x + 2x2 = ((-5 * 6 + x * 6) + 2x * (-5 + x)) -9x + 2x2 = ((-30 + 6x) + 2x * (-5 + x)) -9x + 2x2 = (-30 + 6x + (-5 * 2x + x * 2x)) -9x + 2x2 = (-30 + 6x + (-10x + 2x2)) Combine like terms: 6x + -10x = -4x -9x + 2x2 = (-30 + -4x + 2x2) Add '-2x2' to each side of the equation. -9x + 2x2 + -2x2 = -30 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x + 0 = -30 + -4x + 2x2 + -2x2 -9x = -30 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x = -30 + -4x + 0 -9x = -30 + -4x Solving -9x = -30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9x + 4x = -30 + -4x + 4x Combine like terms: -9x + 4x = -5x -5x = -30 + -4x + 4x Combine like terms: -4x + 4x = 0 -5x = -30 + 0 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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