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Simplifying 2(6x + -1) + -1(9x + 3) = 0 Reorder the terms: 2(-1 + 6x) + -1(9x + 3) = 0 (-1 * 2 + 6x * 2) + -1(9x + 3) = 0 (-2 + 12x) + -1(9x + 3) = 0 Reorder the terms: -2 + 12x + -1(3 + 9x) = 0 -2 + 12x + (3 * -1 + 9x * -1) = 0 -2 + 12x + (-3 + -9x) = 0 Reorder the terms: -2 + -3 + 12x + -9x = 0 Combine like terms: -2 + -3 = -5 -5 + 12x + -9x = 0 Combine like terms: 12x + -9x = 3x -5 + 3x = 0 Solving -5 + 3x = 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 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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