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Simplifying 5(2x + -3) + -1(5x + 1) = 0 Reorder the terms: 5(-3 + 2x) + -1(5x + 1) = 0 (-3 * 5 + 2x * 5) + -1(5x + 1) = 0 (-15 + 10x) + -1(5x + 1) = 0 Reorder the terms: -15 + 10x + -1(1 + 5x) = 0 -15 + 10x + (1 * -1 + 5x * -1) = 0 -15 + 10x + (-1 + -5x) = 0 Reorder the terms: -15 + -1 + 10x + -5x = 0 Combine like terms: -15 + -1 = -16 -16 + 10x + -5x = 0 Combine like terms: 10x + -5x = 5x -16 + 5x = 0 Solving -16 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 0 + 16 5x = 0 + 16 Combine like terms: 0 + 16 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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