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Simplifying 2(3x + -4) + -1(4x + -5) = 0 Reorder the terms: 2(-4 + 3x) + -1(4x + -5) = 0 (-4 * 2 + 3x * 2) + -1(4x + -5) = 0 (-8 + 6x) + -1(4x + -5) = 0 Reorder the terms: -8 + 6x + -1(-5 + 4x) = 0 -8 + 6x + (-5 * -1 + 4x * -1) = 0 -8 + 6x + (5 + -4x) = 0 Reorder the terms: -8 + 5 + 6x + -4x = 0 Combine like terms: -8 + 5 = -3 -3 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -3 + 2x = 0 Solving -3 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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