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Simplifying 2(3x + 4) + -1(3x + -2) = 8 Reorder the terms: 2(4 + 3x) + -1(3x + -2) = 8 (4 * 2 + 3x * 2) + -1(3x + -2) = 8 (8 + 6x) + -1(3x + -2) = 8 Reorder the terms: 8 + 6x + -1(-2 + 3x) = 8 8 + 6x + (-2 * -1 + 3x * -1) = 8 8 + 6x + (2 + -3x) = 8 Reorder the terms: 8 + 2 + 6x + -3x = 8 Combine like terms: 8 + 2 = 10 10 + 6x + -3x = 8 Combine like terms: 6x + -3x = 3x 10 + 3x = 8 Solving 10 + 3x = 8 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 + 3x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 8 + -10 3x = 8 + -10 Combine like terms: 8 + -10 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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