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Simplifying (3x + 1) * 3 = (x + 1) * 7 Reorder the terms: (1 + 3x) * 3 = (x + 1) * 7 Reorder the terms for easier multiplication: 3(1 + 3x) = (x + 1) * 7 (1 * 3 + 3x * 3) = (x + 1) * 7 (3 + 9x) = (x + 1) * 7 Reorder the terms: 3 + 9x = (1 + x) * 7 Reorder the terms for easier multiplication: 3 + 9x = 7(1 + x) 3 + 9x = (1 * 7 + x * 7) 3 + 9x = (7 + 7x) Solving 3 + 9x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 9x + -7x = 7 + 7x + -7x Combine like terms: 9x + -7x = 2x 3 + 2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 2x = 7 + 0 3 + 2x = 7 Add '-3' to each side of the equation. 3 + -3 + 2x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 7 + -3 2x = 7 + -3 Combine like terms: 7 + -3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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