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Simplifying 4(3x + -2) + -2(4x + -5) = 0 Reorder the terms: 4(-2 + 3x) + -2(4x + -5) = 0 (-2 * 4 + 3x * 4) + -2(4x + -5) = 0 (-8 + 12x) + -2(4x + -5) = 0 Reorder the terms: -8 + 12x + -2(-5 + 4x) = 0 -8 + 12x + (-5 * -2 + 4x * -2) = 0 -8 + 12x + (10 + -8x) = 0 Reorder the terms: -8 + 10 + 12x + -8x = 0 Combine like terms: -8 + 10 = 2 2 + 12x + -8x = 0 Combine like terms: 12x + -8x = 4x 2 + 4x = 0 Solving 2 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 0 + -2 4x = 0 + -2 Combine like terms: 0 + -2 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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