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Simplifying (3x + 1) = 2(3 + -2x) + 1 Reorder the terms: (1 + 3x) = 2(3 + -2x) + 1 Remove parenthesis around (1 + 3x) 1 + 3x = 2(3 + -2x) + 1 1 + 3x = (3 * 2 + -2x * 2) + 1 1 + 3x = (6 + -4x) + 1 Reorder the terms: 1 + 3x = 6 + 1 + -4x Combine like terms: 6 + 1 = 7 1 + 3x = 7 + -4x Solving 1 + 3x = 7 + -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. 1 + 3x + 4x = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x 1 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7x = 7 + 0 1 + 7x = 7 Add '-1' to each side of the equation. 1 + -1 + 7x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 7 + -1 7x = 7 + -1 Combine like terms: 7 + -1 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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