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Simplifying 3(2x + 1) + 4(3x + 1) = 17 Reorder the terms: 3(1 + 2x) + 4(3x + 1) = 17 (1 * 3 + 2x * 3) + 4(3x + 1) = 17 (3 + 6x) + 4(3x + 1) = 17 Reorder the terms: 3 + 6x + 4(1 + 3x) = 17 3 + 6x + (1 * 4 + 3x * 4) = 17 3 + 6x + (4 + 12x) = 17 Reorder the terms: 3 + 4 + 6x + 12x = 17 Combine like terms: 3 + 4 = 7 7 + 6x + 12x = 17 Combine like terms: 6x + 12x = 18x 7 + 18x = 17 Solving 7 + 18x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 17 + -7 18x = 17 + -7 Combine like terms: 17 + -7 = 10 18x = 10 Divide each side by '18'. x = 0.5555555556 Simplifying x = 0.5555555556
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