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Simplifying 2(4 + -3x) + -3(2x + 1) = 0 (4 * 2 + -3x * 2) + -3(2x + 1) = 0 (8 + -6x) + -3(2x + 1) = 0 Reorder the terms: 8 + -6x + -3(1 + 2x) = 0 8 + -6x + (1 * -3 + 2x * -3) = 0 8 + -6x + (-3 + -6x) = 0 Reorder the terms: 8 + -3 + -6x + -6x = 0 Combine like terms: 8 + -3 = 5 5 + -6x + -6x = 0 Combine like terms: -6x + -6x = -12x 5 + -12x = 0 Solving 5 + -12x = 0 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 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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