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Simplifying x(5x + -2) = (5x + 1)(x + -2) Reorder the terms: x(-2 + 5x) = (5x + 1)(x + -2) (-2 * x + 5x * x) = (5x + 1)(x + -2) (-2x + 5x2) = (5x + 1)(x + -2) Reorder the terms: -2x + 5x2 = (1 + 5x)(x + -2) Reorder the terms: -2x + 5x2 = (1 + 5x)(-2 + x) Multiply (1 + 5x) * (-2 + x) -2x + 5x2 = (1(-2 + x) + 5x * (-2 + x)) -2x + 5x2 = ((-2 * 1 + x * 1) + 5x * (-2 + x)) -2x + 5x2 = ((-2 + 1x) + 5x * (-2 + x)) -2x + 5x2 = (-2 + 1x + (-2 * 5x + x * 5x)) -2x + 5x2 = (-2 + 1x + (-10x + 5x2)) Combine like terms: 1x + -10x = -9x -2x + 5x2 = (-2 + -9x + 5x2) Add '-5x2' to each side of the equation. -2x + 5x2 + -5x2 = -2 + -9x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -2x + 0 = -2 + -9x + 5x2 + -5x2 -2x = -2 + -9x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -2x = -2 + -9x + 0 -2x = -2 + -9x Solving -2x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -2x + 9x = -2 + -9x + 9x Combine like terms: -2x + 9x = 7x 7x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 7x = -2 + 0 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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