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Simplifying 3(4x + -1) + -2(5x + -4) = 0 Reorder the terms: 3(-1 + 4x) + -2(5x + -4) = 0 (-1 * 3 + 4x * 3) + -2(5x + -4) = 0 (-3 + 12x) + -2(5x + -4) = 0 Reorder the terms: -3 + 12x + -2(-4 + 5x) = 0 -3 + 12x + (-4 * -2 + 5x * -2) = 0 -3 + 12x + (8 + -10x) = 0 Reorder the terms: -3 + 8 + 12x + -10x = 0 Combine like terms: -3 + 8 = 5 5 + 12x + -10x = 0 Combine like terms: 12x + -10x = 2x 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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