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