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Simplifying (x + -5)(x + -4) + -2 = x(x + -7) Reorder the terms: (-5 + x)(x + -4) + -2 = x(x + -7) Reorder the terms: (-5 + x)(-4 + x) + -2 = x(x + -7) Multiply (-5 + x) * (-4 + x) (-5(-4 + x) + x(-4 + x)) + -2 = x(x + -7) ((-4 * -5 + x * -5) + x(-4 + x)) + -2 = x(x + -7) ((20 + -5x) + x(-4 + x)) + -2 = x(x + -7) (20 + -5x + (-4 * x + x * x)) + -2 = x(x + -7) (20 + -5x + (-4x + x2)) + -2 = x(x + -7) Combine like terms: -5x + -4x = -9x (20 + -9x + x2) + -2 = x(x + -7) Reorder the terms: 20 + -2 + -9x + x2 = x(x + -7) Combine like terms: 20 + -2 = 18 18 + -9x + x2 = x(x + -7) Reorder the terms: 18 + -9x + x2 = x(-7 + x) 18 + -9x + x2 = (-7 * x + x * x) 18 + -9x + x2 = (-7x + x2) Add '-1x2' to each side of the equation. 18 + -9x + x2 + -1x2 = -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 0 = -7x + x2 + -1x2 18 + -9x = -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x = -7x + 0 18 + -9x = -7x Solving 18 + -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. 18 + -9x + 7x = -7x + 7x Combine like terms: -9x + 7x = -2x 18 + -2x = -7x + 7x Combine like terms: -7x + 7x = 0 18 + -2x = 0 Add '-18' to each side of the equation. 18 + -18 + -2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 0 + -18 -2x = 0 + -18 Combine like terms: 0 + -18 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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