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Simplifying (x + -9)(x + -5) = x2 + 56 + -24x Reorder the terms: (-9 + x)(x + -5) = x2 + 56 + -24x Reorder the terms: (-9 + x)(-5 + x) = x2 + 56 + -24x Multiply (-9 + x) * (-5 + x) (-9(-5 + x) + x(-5 + x)) = x2 + 56 + -24x ((-5 * -9 + x * -9) + x(-5 + x)) = x2 + 56 + -24x ((45 + -9x) + x(-5 + x)) = x2 + 56 + -24x (45 + -9x + (-5 * x + x * x)) = x2 + 56 + -24x (45 + -9x + (-5x + x2)) = x2 + 56 + -24x Combine like terms: -9x + -5x = -14x (45 + -14x + x2) = x2 + 56 + -24x Reorder the terms: 45 + -14x + x2 = 56 + -24x + x2 Add '-1x2' to each side of the equation. 45 + -14x + x2 + -1x2 = 56 + -24x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + -14x + 0 = 56 + -24x + x2 + -1x2 45 + -14x = 56 + -24x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + -14x = 56 + -24x + 0 45 + -14x = 56 + -24x Solving 45 + -14x = 56 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 45 + -14x + 24x = 56 + -24x + 24x Combine like terms: -14x + 24x = 10x 45 + 10x = 56 + -24x + 24x Combine like terms: -24x + 24x = 0 45 + 10x = 56 + 0 45 + 10x = 56 Add '-45' to each side of the equation. 45 + -45 + 10x = 56 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 56 + -45 10x = 56 + -45 Combine like terms: 56 + -45 = 11 10x = 11 Divide each side by '10'. x = 1.1 Simplifying x = 1.1
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