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Simplifying x(7x + -2) = (7x + 1)(x + -2) Reorder the terms: x(-2 + 7x) = (7x + 1)(x + -2) (-2 * x + 7x * x) = (7x + 1)(x + -2) (-2x + 7x2) = (7x + 1)(x + -2) Reorder the terms: -2x + 7x2 = (1 + 7x)(x + -2) Reorder the terms: -2x + 7x2 = (1 + 7x)(-2 + x) Multiply (1 + 7x) * (-2 + x) -2x + 7x2 = (1(-2 + x) + 7x * (-2 + x)) -2x + 7x2 = ((-2 * 1 + x * 1) + 7x * (-2 + x)) -2x + 7x2 = ((-2 + 1x) + 7x * (-2 + x)) -2x + 7x2 = (-2 + 1x + (-2 * 7x + x * 7x)) -2x + 7x2 = (-2 + 1x + (-14x + 7x2)) Combine like terms: 1x + -14x = -13x -2x + 7x2 = (-2 + -13x + 7x2) Add '-7x2' to each side of the equation. -2x + 7x2 + -7x2 = -2 + -13x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -2x + 0 = -2 + -13x + 7x2 + -7x2 -2x = -2 + -13x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -2x = -2 + -13x + 0 -2x = -2 + -13x Solving -2x = -2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -2x + 13x = -2 + -13x + 13x Combine like terms: -2x + 13x = 11x 11x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 11x = -2 + 0 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818
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