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Simplifying x(3x + -3) + x(2x + -6) = (5x + 4)(x + -3) Reorder the terms: x(-3 + 3x) + x(2x + -6) = (5x + 4)(x + -3) (-3 * x + 3x * x) + x(2x + -6) = (5x + 4)(x + -3) (-3x + 3x2) + x(2x + -6) = (5x + 4)(x + -3) Reorder the terms: -3x + 3x2 + x(-6 + 2x) = (5x + 4)(x + -3) -3x + 3x2 + (-6 * x + 2x * x) = (5x + 4)(x + -3) -3x + 3x2 + (-6x + 2x2) = (5x + 4)(x + -3) Reorder the terms: -3x + -6x + 3x2 + 2x2 = (5x + 4)(x + -3) Combine like terms: -3x + -6x = -9x -9x + 3x2 + 2x2 = (5x + 4)(x + -3) Combine like terms: 3x2 + 2x2 = 5x2 -9x + 5x2 = (5x + 4)(x + -3) Reorder the terms: -9x + 5x2 = (4 + 5x)(x + -3) Reorder the terms: -9x + 5x2 = (4 + 5x)(-3 + x) Multiply (4 + 5x) * (-3 + x) -9x + 5x2 = (4(-3 + x) + 5x * (-3 + x)) -9x + 5x2 = ((-3 * 4 + x * 4) + 5x * (-3 + x)) -9x + 5x2 = ((-12 + 4x) + 5x * (-3 + x)) -9x + 5x2 = (-12 + 4x + (-3 * 5x + x * 5x)) -9x + 5x2 = (-12 + 4x + (-15x + 5x2)) Combine like terms: 4x + -15x = -11x -9x + 5x2 = (-12 + -11x + 5x2) Add '-5x2' to each side of the equation. -9x + 5x2 + -5x2 = -12 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x + 0 = -12 + -11x + 5x2 + -5x2 -9x = -12 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x = -12 + -11x + 0 -9x = -12 + -11x Solving -9x = -12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -9x + 11x = -12 + -11x + 11x Combine like terms: -9x + 11x = 2x 2x = -12 + -11x + 11x Combine like terms: -11x + 11x = 0 2x = -12 + 0 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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