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Simplifying 6(4x + -1) + -5(4x + -1) = 0 Reorder the terms: 6(-1 + 4x) + -5(4x + -1) = 0 (-1 * 6 + 4x * 6) + -5(4x + -1) = 0 (-6 + 24x) + -5(4x + -1) = 0 Reorder the terms: -6 + 24x + -5(-1 + 4x) = 0 -6 + 24x + (-1 * -5 + 4x * -5) = 0 -6 + 24x + (5 + -20x) = 0 Reorder the terms: -6 + 5 + 24x + -20x = 0 Combine like terms: -6 + 5 = -1 -1 + 24x + -20x = 0 Combine like terms: 24x + -20x = 4x -1 + 4x = 0 Solving -1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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