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Simplifying 4(2x + 1) + 5(3x + 2) = 83 Reorder the terms: 4(1 + 2x) + 5(3x + 2) = 83 (1 * 4 + 2x * 4) + 5(3x + 2) = 83 (4 + 8x) + 5(3x + 2) = 83 Reorder the terms: 4 + 8x + 5(2 + 3x) = 83 4 + 8x + (2 * 5 + 3x * 5) = 83 4 + 8x + (10 + 15x) = 83 Reorder the terms: 4 + 10 + 8x + 15x = 83 Combine like terms: 4 + 10 = 14 14 + 8x + 15x = 83 Combine like terms: 8x + 15x = 23x 14 + 23x = 83 Solving 14 + 23x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 23x = 83 + -14 Combine like terms: 14 + -14 = 0 0 + 23x = 83 + -14 23x = 83 + -14 Combine like terms: 83 + -14 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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