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Simplifying x2 + -10x + -110 = x(x + -15) Reorder the terms: -110 + -10x + x2 = x(x + -15) Reorder the terms: -110 + -10x + x2 = x(-15 + x) -110 + -10x + x2 = (-15 * x + x * x) -110 + -10x + x2 = (-15x + x2) Add '-1x2' to each side of the equation. -110 + -10x + x2 + -1x2 = -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -110 + -10x + 0 = -15x + x2 + -1x2 -110 + -10x = -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -110 + -10x = -15x + 0 -110 + -10x = -15x Solving -110 + -10x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -110 + -10x + 15x = -15x + 15x Combine like terms: -10x + 15x = 5x -110 + 5x = -15x + 15x Combine like terms: -15x + 15x = 0 -110 + 5x = 0 Add '110' to each side of the equation. -110 + 110 + 5x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 5x = 0 + 110 5x = 0 + 110 Combine like terms: 0 + 110 = 110 5x = 110 Divide each side by '5'. x = 22 Simplifying x = 22
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