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Simplifying 3(4x + 1) + -2(3x + -4) = 1 Reorder the terms: 3(1 + 4x) + -2(3x + -4) = 1 (1 * 3 + 4x * 3) + -2(3x + -4) = 1 (3 + 12x) + -2(3x + -4) = 1 Reorder the terms: 3 + 12x + -2(-4 + 3x) = 1 3 + 12x + (-4 * -2 + 3x * -2) = 1 3 + 12x + (8 + -6x) = 1 Reorder the terms: 3 + 8 + 12x + -6x = 1 Combine like terms: 3 + 8 = 11 11 + 12x + -6x = 1 Combine like terms: 12x + -6x = 6x 11 + 6x = 1 Solving 11 + 6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 1 + -11 6x = 1 + -11 Combine like terms: 1 + -11 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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