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Simplifying 4(3x + 2) + -1(x + -2) = 0 Reorder the terms: 4(2 + 3x) + -1(x + -2) = 0 (2 * 4 + 3x * 4) + -1(x + -2) = 0 (8 + 12x) + -1(x + -2) = 0 Reorder the terms: 8 + 12x + -1(-2 + x) = 0 8 + 12x + (-2 * -1 + x * -1) = 0 8 + 12x + (2 + -1x) = 0 Reorder the terms: 8 + 2 + 12x + -1x = 0 Combine like terms: 8 + 2 = 10 10 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x 10 + 11x = 0 Solving 10 + 11x = 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 + 11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 0 + -10 11x = 0 + -10 Combine like terms: 0 + -10 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091
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