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Simplifying 4(2x + 1) + 3(3x + 2) = 44 Reorder the terms: 4(1 + 2x) + 3(3x + 2) = 44 (1 * 4 + 2x * 4) + 3(3x + 2) = 44 (4 + 8x) + 3(3x + 2) = 44 Reorder the terms: 4 + 8x + 3(2 + 3x) = 44 4 + 8x + (2 * 3 + 3x * 3) = 44 4 + 8x + (6 + 9x) = 44 Reorder the terms: 4 + 6 + 8x + 9x = 44 Combine like terms: 4 + 6 = 10 10 + 8x + 9x = 44 Combine like terms: 8x + 9x = 17x 10 + 17x = 44 Solving 10 + 17x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 17x = 44 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 44 + -10 17x = 44 + -10 Combine like terms: 44 + -10 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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