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Simplifying x(2x + -3) + x(4x + -6) = (6x + 5)(x + -4) Reorder the terms: x(-3 + 2x) + x(4x + -6) = (6x + 5)(x + -4) (-3 * x + 2x * x) + x(4x + -6) = (6x + 5)(x + -4) (-3x + 2x2) + x(4x + -6) = (6x + 5)(x + -4) Reorder the terms: -3x + 2x2 + x(-6 + 4x) = (6x + 5)(x + -4) -3x + 2x2 + (-6 * x + 4x * x) = (6x + 5)(x + -4) -3x + 2x2 + (-6x + 4x2) = (6x + 5)(x + -4) Reorder the terms: -3x + -6x + 2x2 + 4x2 = (6x + 5)(x + -4) Combine like terms: -3x + -6x = -9x -9x + 2x2 + 4x2 = (6x + 5)(x + -4) Combine like terms: 2x2 + 4x2 = 6x2 -9x + 6x2 = (6x + 5)(x + -4) Reorder the terms: -9x + 6x2 = (5 + 6x)(x + -4) Reorder the terms: -9x + 6x2 = (5 + 6x)(-4 + x) Multiply (5 + 6x) * (-4 + x) -9x + 6x2 = (5(-4 + x) + 6x * (-4 + x)) -9x + 6x2 = ((-4 * 5 + x * 5) + 6x * (-4 + x)) -9x + 6x2 = ((-20 + 5x) + 6x * (-4 + x)) -9x + 6x2 = (-20 + 5x + (-4 * 6x + x * 6x)) -9x + 6x2 = (-20 + 5x + (-24x + 6x2)) Combine like terms: 5x + -24x = -19x -9x + 6x2 = (-20 + -19x + 6x2) Add '-6x2' to each side of the equation. -9x + 6x2 + -6x2 = -20 + -19x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -9x + 0 = -20 + -19x + 6x2 + -6x2 -9x = -20 + -19x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -9x = -20 + -19x + 0 -9x = -20 + -19x Solving -9x = -20 + -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 = -20 + -19x + 19x Combine like terms: -9x + 19x = 10x 10x = -20 + -19x + 19x Combine like terms: -19x + 19x = 0 10x = -20 + 0 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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