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Simplifying x(3x + -2) + x(2x + -7) = (5x + 3)(x + -6) Reorder the terms: x(-2 + 3x) + x(2x + -7) = (5x + 3)(x + -6) (-2 * x + 3x * x) + x(2x + -7) = (5x + 3)(x + -6) (-2x + 3x2) + x(2x + -7) = (5x + 3)(x + -6) Reorder the terms: -2x + 3x2 + x(-7 + 2x) = (5x + 3)(x + -6) -2x + 3x2 + (-7 * x + 2x * x) = (5x + 3)(x + -6) -2x + 3x2 + (-7x + 2x2) = (5x + 3)(x + -6) Reorder the terms: -2x + -7x + 3x2 + 2x2 = (5x + 3)(x + -6) Combine like terms: -2x + -7x = -9x -9x + 3x2 + 2x2 = (5x + 3)(x + -6) Combine like terms: 3x2 + 2x2 = 5x2 -9x + 5x2 = (5x + 3)(x + -6) Reorder the terms: -9x + 5x2 = (3 + 5x)(x + -6) Reorder the terms: -9x + 5x2 = (3 + 5x)(-6 + x) Multiply (3 + 5x) * (-6 + x) -9x + 5x2 = (3(-6 + x) + 5x * (-6 + x)) -9x + 5x2 = ((-6 * 3 + x * 3) + 5x * (-6 + x)) -9x + 5x2 = ((-18 + 3x) + 5x * (-6 + x)) -9x + 5x2 = (-18 + 3x + (-6 * 5x + x * 5x)) -9x + 5x2 = (-18 + 3x + (-30x + 5x2)) Combine like terms: 3x + -30x = -27x -9x + 5x2 = (-18 + -27x + 5x2) Add '-5x2' to each side of the equation. -9x + 5x2 + -5x2 = -18 + -27x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x + 0 = -18 + -27x + 5x2 + -5x2 -9x = -18 + -27x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x = -18 + -27x + 0 -9x = -18 + -27x Solving -9x = -18 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -9x + 27x = -18 + -27x + 27x Combine like terms: -9x + 27x = 18x 18x = -18 + -27x + 27x Combine like terms: -27x + 27x = 0 18x = -18 + 0 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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