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Simplifying 4(3x + 2) + 5x + 7 = 83 Reorder the terms: 4(2 + 3x) + 5x + 7 = 83 (2 * 4 + 3x * 4) + 5x + 7 = 83 (8 + 12x) + 5x + 7 = 83 Reorder the terms: 8 + 7 + 12x + 5x = 83 Combine like terms: 8 + 7 = 15 15 + 12x + 5x = 83 Combine like terms: 12x + 5x = 17x 15 + 17x = 83 Solving 15 + 17x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 17x = 83 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 83 + -15 17x = 83 + -15 Combine like terms: 83 + -15 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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