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Simplifying x(x + -7) + 9 = x(x + 2) Reorder the terms: x(-7 + x) + 9 = x(x + 2) (-7 * x + x * x) + 9 = x(x + 2) (-7x + x2) + 9 = x(x + 2) Reorder the terms: 9 + -7x + x2 = x(x + 2) Reorder the terms: 9 + -7x + x2 = x(2 + x) 9 + -7x + x2 = (2 * x + x * x) 9 + -7x + x2 = (2x + x2) Add '-1x2' to each side of the equation. 9 + -7x + x2 + -1x2 = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -7x + 0 = 2x + x2 + -1x2 9 + -7x = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -7x = 2x + 0 9 + -7x = 2x Solving 9 + -7x = 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. 9 + -7x + -2x = 2x + -2x Combine like terms: -7x + -2x = -9x 9 + -9x = 2x + -2x Combine like terms: 2x + -2x = 0 9 + -9x = 0 Add '-9' to each side of the equation. 9 + -9 + -9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 0 + -9 -9x = 0 + -9 Combine like terms: 0 + -9 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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