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Simplifying 3(5x + 1) = 2(2x + 7) Reorder the terms: 3(1 + 5x) = 2(2x + 7) (1 * 3 + 5x * 3) = 2(2x + 7) (3 + 15x) = 2(2x + 7) Reorder the terms: 3 + 15x = 2(7 + 2x) 3 + 15x = (7 * 2 + 2x * 2) 3 + 15x = (14 + 4x) Solving 3 + 15x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 15x + -4x = 14 + 4x + -4x Combine like terms: 15x + -4x = 11x 3 + 11x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 11x = 14 + 0 3 + 11x = 14 Add '-3' to each side of the equation. 3 + -3 + 11x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 14 + -3 11x = 14 + -3 Combine like terms: 14 + -3 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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