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Simplifying 5(3x + 1) = 2(7x + 6) Reorder the terms: 5(1 + 3x) = 2(7x + 6) (1 * 5 + 3x * 5) = 2(7x + 6) (5 + 15x) = 2(7x + 6) Reorder the terms: 5 + 15x = 2(6 + 7x) 5 + 15x = (6 * 2 + 7x * 2) 5 + 15x = (12 + 14x) Solving 5 + 15x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 15x + -14x = 12 + 14x + -14x Combine like terms: 15x + -14x = 1x 5 + 1x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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