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