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