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Simplifying (x + 7)(x + -2) = x(x + -9) Reorder the terms: (7 + x)(x + -2) = x(x + -9) Reorder the terms: (7 + x)(-2 + x) = x(x + -9) Multiply (7 + x) * (-2 + x) (7(-2 + x) + x(-2 + x)) = x(x + -9) ((-2 * 7 + x * 7) + x(-2 + x)) = x(x + -9) ((-14 + 7x) + x(-2 + x)) = x(x + -9) (-14 + 7x + (-2 * x + x * x)) = x(x + -9) (-14 + 7x + (-2x + x2)) = x(x + -9) Combine like terms: 7x + -2x = 5x (-14 + 5x + x2) = x(x + -9) Reorder the terms: -14 + 5x + x2 = x(-9 + x) -14 + 5x + x2 = (-9 * x + x * x) -14 + 5x + x2 = (-9x + x2) Add '-1x2' to each side of the equation. -14 + 5x + x2 + -1x2 = -9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 5x + 0 = -9x + x2 + -1x2 -14 + 5x = -9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 5x = -9x + 0 -14 + 5x = -9x Solving -14 + 5x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 5x + 9x = -9x + 9x Combine like terms: 5x + 9x = 14x -14 + 14x = -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 14x = 0 Add '14' to each side of the equation. -14 + 14 + 14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 0 + 14 14x = 0 + 14 Combine like terms: 0 + 14 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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