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Simplifying x(2x + -5) = (2x + 1)(x + -6) Reorder the terms: x(-5 + 2x) = (2x + 1)(x + -6) (-5 * x + 2x * x) = (2x + 1)(x + -6) (-5x + 2x2) = (2x + 1)(x + -6) Reorder the terms: -5x + 2x2 = (1 + 2x)(x + -6) Reorder the terms: -5x + 2x2 = (1 + 2x)(-6 + x) Multiply (1 + 2x) * (-6 + x) -5x + 2x2 = (1(-6 + x) + 2x * (-6 + x)) -5x + 2x2 = ((-6 * 1 + x * 1) + 2x * (-6 + x)) -5x + 2x2 = ((-6 + 1x) + 2x * (-6 + x)) -5x + 2x2 = (-6 + 1x + (-6 * 2x + x * 2x)) -5x + 2x2 = (-6 + 1x + (-12x + 2x2)) Combine like terms: 1x + -12x = -11x -5x + 2x2 = (-6 + -11x + 2x2) Add '-2x2' to each side of the equation. -5x + 2x2 + -2x2 = -6 + -11x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x + 0 = -6 + -11x + 2x2 + -2x2 -5x = -6 + -11x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x = -6 + -11x + 0 -5x = -6 + -11x Solving -5x = -6 + -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. -5x + 11x = -6 + -11x + 11x Combine like terms: -5x + 11x = 6x 6x = -6 + -11x + 11x Combine like terms: -11x + 11x = 0 6x = -6 + 0 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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