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Simplifying 10(2x + 7) = 5(2x + 24) Reorder the terms: 10(7 + 2x) = 5(2x + 24) (7 * 10 + 2x * 10) = 5(2x + 24) (70 + 20x) = 5(2x + 24) Reorder the terms: 70 + 20x = 5(24 + 2x) 70 + 20x = (24 * 5 + 2x * 5) 70 + 20x = (120 + 10x) Solving 70 + 20x = 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. 70 + 20x + -10x = 120 + 10x + -10x Combine like terms: 20x + -10x = 10x 70 + 10x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 70 + 10x = 120 + 0 70 + 10x = 120 Add '-70' to each side of the equation. 70 + -70 + 10x = 120 + -70 Combine like terms: 70 + -70 = 0 0 + 10x = 120 + -70 10x = 120 + -70 Combine like terms: 120 + -70 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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