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Simplifying 3(2x + -1) + 4(3x + 2) = 14 Reorder the terms: 3(-1 + 2x) + 4(3x + 2) = 14 (-1 * 3 + 2x * 3) + 4(3x + 2) = 14 (-3 + 6x) + 4(3x + 2) = 14 Reorder the terms: -3 + 6x + 4(2 + 3x) = 14 -3 + 6x + (2 * 4 + 3x * 4) = 14 -3 + 6x + (8 + 12x) = 14 Reorder the terms: -3 + 8 + 6x + 12x = 14 Combine like terms: -3 + 8 = 5 5 + 6x + 12x = 14 Combine like terms: 6x + 12x = 18x 5 + 18x = 14 Solving 5 + 18x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 18x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 18x = 14 + -5 18x = 14 + -5 Combine like terms: 14 + -5 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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