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Simplifying 2(2x + 5) + 5(x + -7) = 0 Reorder the terms: 2(5 + 2x) + 5(x + -7) = 0 (5 * 2 + 2x * 2) + 5(x + -7) = 0 (10 + 4x) + 5(x + -7) = 0 Reorder the terms: 10 + 4x + 5(-7 + x) = 0 10 + 4x + (-7 * 5 + x * 5) = 0 10 + 4x + (-35 + 5x) = 0 Reorder the terms: 10 + -35 + 4x + 5x = 0 Combine like terms: 10 + -35 = -25 -25 + 4x + 5x = 0 Combine like terms: 4x + 5x = 9x -25 + 9x = 0 Solving -25 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 0 + 25 9x = 0 + 25 Combine like terms: 0 + 25 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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