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Simplifying 5(7x + 12) = 65x Reorder the terms: 5(12 + 7x) = 65x (12 * 5 + 7x * 5) = 65x (60 + 35x) = 65x Solving 60 + 35x = 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 60 + 35x + -65x = 65x + -65x Combine like terms: 35x + -65x = -30x 60 + -30x = 65x + -65x Combine like terms: 65x + -65x = 0 60 + -30x = 0 Add '-60' to each side of the equation. 60 + -60 + -30x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -30x = 0 + -60 -30x = 0 + -60 Combine like terms: 0 + -60 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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