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Simplifying 2(4x + -5) + -3(4x + -4) = 0 Reorder the terms: 2(-5 + 4x) + -3(4x + -4) = 0 (-5 * 2 + 4x * 2) + -3(4x + -4) = 0 (-10 + 8x) + -3(4x + -4) = 0 Reorder the terms: -10 + 8x + -3(-4 + 4x) = 0 -10 + 8x + (-4 * -3 + 4x * -3) = 0 -10 + 8x + (12 + -12x) = 0 Reorder the terms: -10 + 12 + 8x + -12x = 0 Combine like terms: -10 + 12 = 2 2 + 8x + -12x = 0 Combine like terms: 8x + -12x = -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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