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Simplifying 3(4x + 1) + -9x = 6(2 + -1d) Reorder the terms: 3(1 + 4x) + -9x = 6(2 + -1d) (1 * 3 + 4x * 3) + -9x = 6(2 + -1d) (3 + 12x) + -9x = 6(2 + -1d) Combine like terms: 12x + -9x = 3x 3 + 3x = 6(2 + -1d) 3 + 3x = (2 * 6 + -1d * 6) 3 + 3x = (12 + -6d) Solving 3 + 3x = 12 + -6d 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 = 12 + -3 + -6d Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 + -6d 3x = 12 + -3 + -6d Combine like terms: 12 + -3 = 9 3x = 9 + -6d Divide each side by '3'. x = 3 + -2d Simplifying x = 3 + -2d
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