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Simplifying x(3x + -3) + x(6x + -3) = (9x + 4)(x + -2) Reorder the terms: x(-3 + 3x) + x(6x + -3) = (9x + 4)(x + -2) (-3 * x + 3x * x) + x(6x + -3) = (9x + 4)(x + -2) (-3x + 3x2) + x(6x + -3) = (9x + 4)(x + -2) Reorder the terms: -3x + 3x2 + x(-3 + 6x) = (9x + 4)(x + -2) -3x + 3x2 + (-3 * x + 6x * x) = (9x + 4)(x + -2) -3x + 3x2 + (-3x + 6x2) = (9x + 4)(x + -2) Reorder the terms: -3x + -3x + 3x2 + 6x2 = (9x + 4)(x + -2) Combine like terms: -3x + -3x = -6x -6x + 3x2 + 6x2 = (9x + 4)(x + -2) Combine like terms: 3x2 + 6x2 = 9x2 -6x + 9x2 = (9x + 4)(x + -2) Reorder the terms: -6x + 9x2 = (4 + 9x)(x + -2) Reorder the terms: -6x + 9x2 = (4 + 9x)(-2 + x) Multiply (4 + 9x) * (-2 + x) -6x + 9x2 = (4(-2 + x) + 9x * (-2 + x)) -6x + 9x2 = ((-2 * 4 + x * 4) + 9x * (-2 + x)) -6x + 9x2 = ((-8 + 4x) + 9x * (-2 + x)) -6x + 9x2 = (-8 + 4x + (-2 * 9x + x * 9x)) -6x + 9x2 = (-8 + 4x + (-18x + 9x2)) Combine like terms: 4x + -18x = -14x -6x + 9x2 = (-8 + -14x + 9x2) Add '-9x2' to each side of the equation. -6x + 9x2 + -9x2 = -8 + -14x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x + 0 = -8 + -14x + 9x2 + -9x2 -6x = -8 + -14x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x = -8 + -14x + 0 -6x = -8 + -14x Solving -6x = -8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6x + 14x = -8 + -14x + 14x Combine like terms: -6x + 14x = 8x 8x = -8 + -14x + 14x Combine like terms: -14x + 14x = 0 8x = -8 + 0 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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