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Simplifying 12x + -1(4 + -1x) + -2(3 + -1x) = 0 12x + (4 * -1 + -1x * -1) + -2(3 + -1x) = 0 12x + (-4 + 1x) + -2(3 + -1x) = 0 12x + -4 + 1x + (3 * -2 + -1x * -2) = 0 12x + -4 + 1x + (-6 + 2x) = 0 Reorder the terms: -4 + -6 + 12x + 1x + 2x = 0 Combine like terms: -4 + -6 = -10 -10 + 12x + 1x + 2x = 0 Combine like terms: 12x + 1x = 13x -10 + 13x + 2x = 0 Combine like terms: 13x + 2x = 15x -10 + 15x = 0 Solving -10 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = 0 + 10 15x = 0 + 10 Combine like terms: 0 + 10 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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