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Simplifying -11 + 10(X + 10) = 24 + -5(2x + 11) Reorder the terms: -11 + 10(10 + X) = 24 + -5(2x + 11) -11 + (10 * 10 + X * 10) = 24 + -5(2x + 11) -11 + (100 + 10X) = 24 + -5(2x + 11) Combine like terms: -11 + 100 = 89 89 + 10X = 24 + -5(2x + 11) Reorder the terms: 89 + 10X = 24 + -5(11 + 2x) 89 + 10X = 24 + (11 * -5 + 2x * -5) 89 + 10X = 24 + (-55 + -10x) Combine like terms: 24 + -55 = -31 89 + 10X = -31 + -10x Solving 89 + 10X = -31 + -10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 10X = -31 + -89 + -10x Combine like terms: 89 + -89 = 0 0 + 10X = -31 + -89 + -10x 10X = -31 + -89 + -10x Combine like terms: -31 + -89 = -120 10X = -120 + -10x Divide each side by '10'. X = -12 + -1x Simplifying X = -12 + -1x
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