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Simplifying x(x + -9) = x(7 + x) Reorder the terms: x(-9 + x) = x(7 + x) (-9 * x + x * x) = x(7 + x) (-9x + x2) = x(7 + x) -9x + x2 = (7 * x + x * x) -9x + x2 = (7x + x2) Add '-1x2' to each side of the equation. -9x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x + 0 = 7x + x2 + -1x2 -9x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x = 7x + 0 -9x = 7x Solving -9x = 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 = 7x + -7x Combine like terms: -9x + -7x = -16x -16x = 7x + -7x Combine like terms: 7x + -7x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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