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Simplifying 5(2x + -1) + -24(5(x + -1)) = 5 Reorder the terms: 5(-1 + 2x) + -24(5(x + -1)) = 5 (-1 * 5 + 2x * 5) + -24(5(x + -1)) = 5 (-5 + 10x) + -24(5(x + -1)) = 5 Reorder the terms: -5 + 10x + -24(5(-1 + x)) = 5 -5 + 10x + -24((-1 * 5 + x * 5)) = 5 -5 + 10x + -24((-5 + 5x)) = 5 -5 + 10x + (-5 * -24 + 5x * -24) = 5 -5 + 10x + (120 + -120x) = 5 Reorder the terms: -5 + 120 + 10x + -120x = 5 Combine like terms: -5 + 120 = 115 115 + 10x + -120x = 5 Combine like terms: 10x + -120x = -110x 115 + -110x = 5 Solving 115 + -110x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + -110x = 5 + -115 Combine like terms: 115 + -115 = 0 0 + -110x = 5 + -115 -110x = 5 + -115 Combine like terms: 5 + -115 = -110 -110x = -110 Divide each side by '-110'. x = 1 Simplifying x = 1
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