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