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Simplifying 5(-2x + 22) = -11(x + -5) Reorder the terms: 5(22 + -2x) = -11(x + -5) (22 * 5 + -2x * 5) = -11(x + -5) (110 + -10x) = -11(x + -5) Reorder the terms: 110 + -10x = -11(-5 + x) 110 + -10x = (-5 * -11 + x * -11) 110 + -10x = (55 + -11x) Solving 110 + -10x = 55 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 110 + -10x + 11x = 55 + -11x + 11x Combine like terms: -10x + 11x = 1x 110 + 1x = 55 + -11x + 11x Combine like terms: -11x + 11x = 0 110 + 1x = 55 + 0 110 + 1x = 55 Add '-110' to each side of the equation. 110 + -110 + 1x = 55 + -110 Combine like terms: 110 + -110 = 0 0 + 1x = 55 + -110 1x = 55 + -110 Combine like terms: 55 + -110 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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