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Simplifying 3(4x + 1) + (5x + -3) = 34 Reorder the terms: 3(1 + 4x) + (5x + -3) = 34 (1 * 3 + 4x * 3) + (5x + -3) = 34 (3 + 12x) + (5x + -3) = 34 Reorder the terms: 3 + 12x + (-3 + 5x) = 34 Remove parenthesis around (-3 + 5x) 3 + 12x + -3 + 5x = 34 Reorder the terms: 3 + -3 + 12x + 5x = 34 Combine like terms: 3 + -3 = 0 0 + 12x + 5x = 34 12x + 5x = 34 Combine like terms: 12x + 5x = 17x 17x = 34 Solving 17x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '17'. x = 2 Simplifying x = 2
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