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Simplifying 3(4x + -5) + 4(2x + -6) = 0 Reorder the terms: 3(-5 + 4x) + 4(2x + -6) = 0 (-5 * 3 + 4x * 3) + 4(2x + -6) = 0 (-15 + 12x) + 4(2x + -6) = 0 Reorder the terms: -15 + 12x + 4(-6 + 2x) = 0 -15 + 12x + (-6 * 4 + 2x * 4) = 0 -15 + 12x + (-24 + 8x) = 0 Reorder the terms: -15 + -24 + 12x + 8x = 0 Combine like terms: -15 + -24 = -39 -39 + 12x + 8x = 0 Combine like terms: 12x + 8x = 20x -39 + 20x = 0 Solving -39 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 20x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 20x = 0 + 39 20x = 0 + 39 Combine like terms: 0 + 39 = 39 20x = 39 Divide each side by '20'. x = 1.95 Simplifying x = 1.95
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