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Simplifying 3(5x + 1) = 7(2x + 1) Reorder the terms: 3(1 + 5x) = 7(2x + 1) (1 * 3 + 5x * 3) = 7(2x + 1) (3 + 15x) = 7(2x + 1) Reorder the terms: 3 + 15x = 7(1 + 2x) 3 + 15x = (1 * 7 + 2x * 7) 3 + 15x = (7 + 14x) Solving 3 + 15x = 7 + 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. 3 + 15x + -14x = 7 + 14x + -14x Combine like terms: 15x + -14x = 1x 3 + 1x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + 1x = 7 + 0 3 + 1x = 7 Add '-3' to each side of the equation. 3 + -3 + 1x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 7 + -3 1x = 7 + -3 Combine like terms: 7 + -3 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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