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Simplifying 5(2x + -5) + 5(5x + -3) = 0 Reorder the terms: 5(-5 + 2x) + 5(5x + -3) = 0 (-5 * 5 + 2x * 5) + 5(5x + -3) = 0 (-25 + 10x) + 5(5x + -3) = 0 Reorder the terms: -25 + 10x + 5(-3 + 5x) = 0 -25 + 10x + (-3 * 5 + 5x * 5) = 0 -25 + 10x + (-15 + 25x) = 0 Reorder the terms: -25 + -15 + 10x + 25x = 0 Combine like terms: -25 + -15 = -40 -40 + 10x + 25x = 0 Combine like terms: 10x + 25x = 35x -40 + 35x = 0 Solving -40 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 35x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 35x = 0 + 40 35x = 0 + 40 Combine like terms: 0 + 40 = 40 35x = 40 Divide each side by '35'. x = 1.142857143 Simplifying x = 1.142857143
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