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Simplifying 11(-2x + 10) = -5(x + -5) Reorder the terms: 11(10 + -2x) = -5(x + -5) (10 * 11 + -2x * 11) = -5(x + -5) (110 + -22x) = -5(x + -5) Reorder the terms: 110 + -22x = -5(-5 + x) 110 + -22x = (-5 * -5 + x * -5) 110 + -22x = (25 + -5x) Solving 110 + -22x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 110 + -22x + 5x = 25 + -5x + 5x Combine like terms: -22x + 5x = -17x 110 + -17x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 110 + -17x = 25 + 0 110 + -17x = 25 Add '-110' to each side of the equation. 110 + -110 + -17x = 25 + -110 Combine like terms: 110 + -110 = 0 0 + -17x = 25 + -110 -17x = 25 + -110 Combine like terms: 25 + -110 = -85 -17x = -85 Divide each side by '-17'. x = 5 Simplifying x = 5
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