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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 = -9 -9 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -9 + 7x = 0 Solving -9 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 0 + 9 7x = 0 + 9 Combine like terms: 0 + 9 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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