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Simplifying 10(2x + 6) = 15x + 65 Reorder the terms: 10(6 + 2x) = 15x + 65 (6 * 10 + 2x * 10) = 15x + 65 (60 + 20x) = 15x + 65 Reorder the terms: 60 + 20x = 65 + 15x Solving 60 + 20x = 65 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 60 + 20x + -15x = 65 + 15x + -15x Combine like terms: 20x + -15x = 5x 60 + 5x = 65 + 15x + -15x Combine like terms: 15x + -15x = 0 60 + 5x = 65 + 0 60 + 5x = 65 Add '-60' to each side of the equation. 60 + -60 + 5x = 65 + -60 Combine like terms: 60 + -60 = 0 0 + 5x = 65 + -60 5x = 65 + -60 Combine like terms: 65 + -60 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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