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Simplifying 4(4x + 3) + -2(2x + -1) = 0 Reorder the terms: 4(3 + 4x) + -2(2x + -1) = 0 (3 * 4 + 4x * 4) + -2(2x + -1) = 0 (12 + 16x) + -2(2x + -1) = 0 Reorder the terms: 12 + 16x + -2(-1 + 2x) = 0 12 + 16x + (-1 * -2 + 2x * -2) = 0 12 + 16x + (2 + -4x) = 0 Reorder the terms: 12 + 2 + 16x + -4x = 0 Combine like terms: 12 + 2 = 14 14 + 16x + -4x = 0 Combine like terms: 16x + -4x = 12x 14 + 12x = 0 Solving 14 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 0 + -14 12x = 0 + -14 Combine like terms: 0 + -14 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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