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Simplifying 5(2x + -1) + 3(x + -5) = 0 Reorder the terms: 5(-1 + 2x) + 3(x + -5) = 0 (-1 * 5 + 2x * 5) + 3(x + -5) = 0 (-5 + 10x) + 3(x + -5) = 0 Reorder the terms: -5 + 10x + 3(-5 + x) = 0 -5 + 10x + (-5 * 3 + x * 3) = 0 -5 + 10x + (-15 + 3x) = 0 Reorder the terms: -5 + -15 + 10x + 3x = 0 Combine like terms: -5 + -15 = -20 -20 + 10x + 3x = 0 Combine like terms: 10x + 3x = 13x -20 + 13x = 0 Solving -20 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 0 + 20 13x = 0 + 20 Combine like terms: 0 + 20 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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