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Simplifying x(4x + -9) = (4x + 5)(x + -6) Reorder the terms: x(-9 + 4x) = (4x + 5)(x + -6) (-9 * x + 4x * x) = (4x + 5)(x + -6) (-9x + 4x2) = (4x + 5)(x + -6) Reorder the terms: -9x + 4x2 = (5 + 4x)(x + -6) Reorder the terms: -9x + 4x2 = (5 + 4x)(-6 + x) Multiply (5 + 4x) * (-6 + x) -9x + 4x2 = (5(-6 + x) + 4x * (-6 + x)) -9x + 4x2 = ((-6 * 5 + x * 5) + 4x * (-6 + x)) -9x + 4x2 = ((-30 + 5x) + 4x * (-6 + x)) -9x + 4x2 = (-30 + 5x + (-6 * 4x + x * 4x)) -9x + 4x2 = (-30 + 5x + (-24x + 4x2)) Combine like terms: 5x + -24x = -19x -9x + 4x2 = (-30 + -19x + 4x2) Add '-4x2' to each side of the equation. -9x + 4x2 + -4x2 = -30 + -19x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 = -30 + -19x + 4x2 + -4x2 -9x = -30 + -19x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x = -30 + -19x + 0 -9x = -30 + -19x Solving -9x = -30 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -9x + 19x = -30 + -19x + 19x Combine like terms: -9x + 19x = 10x 10x = -30 + -19x + 19x Combine like terms: -19x + 19x = 0 10x = -30 + 0 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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