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Simplifying 4(3x + 1) = 9x + 2 Reorder the terms: 4(1 + 3x) = 9x + 2 (1 * 4 + 3x * 4) = 9x + 2 (4 + 12x) = 9x + 2 Reorder the terms: 4 + 12x = 2 + 9x Solving 4 + 12x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 12x + -9x = 2 + 9x + -9x Combine like terms: 12x + -9x = 3x 4 + 3x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 3x = 2 + 0 4 + 3x = 2 Add '-4' to each side of the equation. 4 + -4 + 3x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 2 + -4 3x = 2 + -4 Combine like terms: 2 + -4 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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