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Simplifying 8(3x + 2) + -1(6x + 4) = 0 Reorder the terms: 8(2 + 3x) + -1(6x + 4) = 0 (2 * 8 + 3x * 8) + -1(6x + 4) = 0 (16 + 24x) + -1(6x + 4) = 0 Reorder the terms: 16 + 24x + -1(4 + 6x) = 0 16 + 24x + (4 * -1 + 6x * -1) = 0 16 + 24x + (-4 + -6x) = 0 Reorder the terms: 16 + -4 + 24x + -6x = 0 Combine like terms: 16 + -4 = 12 12 + 24x + -6x = 0 Combine like terms: 24x + -6x = 18x 12 + 18x = 0 Solving 12 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 0 + -12 18x = 0 + -12 Combine like terms: 0 + -12 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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