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Simplifying 5(2x + -1) + -1(3x + -4) = 0 Reorder the terms: 5(-1 + 2x) + -1(3x + -4) = 0 (-1 * 5 + 2x * 5) + -1(3x + -4) = 0 (-5 + 10x) + -1(3x + -4) = 0 Reorder the terms: -5 + 10x + -1(-4 + 3x) = 0 -5 + 10x + (-4 * -1 + 3x * -1) = 0 -5 + 10x + (4 + -3x) = 0 Reorder the terms: -5 + 4 + 10x + -3x = 0 Combine like terms: -5 + 4 = -1 -1 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -1 + 7x = 0 Solving -1 + 7x = 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 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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