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Simplifying -5x + 7x = 5(-2x + 24) Combine like terms: -5x + 7x = 2x 2x = 5(-2x + 24) Reorder the terms: 2x = 5(24 + -2x) 2x = (24 * 5 + -2x * 5) 2x = (120 + -10x) Solving 2x = 120 + -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. 2x + 10x = 120 + -10x + 10x Combine like terms: 2x + 10x = 12x 12x = 120 + -10x + 10x Combine like terms: -10x + 10x = 0 12x = 120 + 0 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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