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Simplifying (3x + 14) * 2 = 41 + (3x + -1) Reorder the terms: (14 + 3x) * 2 = 41 + (3x + -1) Reorder the terms for easier multiplication: 2(14 + 3x) = 41 + (3x + -1) (14 * 2 + 3x * 2) = 41 + (3x + -1) (28 + 6x) = 41 + (3x + -1) Reorder the terms: 28 + 6x = 41 + (-1 + 3x) Remove parenthesis around (-1 + 3x) 28 + 6x = 41 + -1 + 3x Combine like terms: 41 + -1 = 40 28 + 6x = 40 + 3x Solving 28 + 6x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 6x + -3x = 40 + 3x + -3x Combine like terms: 6x + -3x = 3x 28 + 3x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 3x = 40 + 0 28 + 3x = 40 Add '-28' to each side of the equation. 28 + -28 + 3x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 40 + -28 3x = 40 + -28 Combine like terms: 40 + -28 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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