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Simplifying 11x + -24 = 5(2x + 5) + -1 Reorder the terms: -24 + 11x = 5(2x + 5) + -1 Reorder the terms: -24 + 11x = 5(5 + 2x) + -1 -24 + 11x = (5 * 5 + 2x * 5) + -1 -24 + 11x = (25 + 10x) + -1 Reorder the terms: -24 + 11x = 25 + -1 + 10x Combine like terms: 25 + -1 = 24 -24 + 11x = 24 + 10x Solving -24 + 11x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 11x + -10x = 24 + 10x + -10x Combine like terms: 11x + -10x = 1x -24 + 1x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 1x = 24 + 0 -24 + 1x = 24 Add '24' to each side of the equation. -24 + 24 + 1x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 24 + 24 1x = 24 + 24 Combine like terms: 24 + 24 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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