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Simplifying 2(x + -3) + 5(x + -7) = 0 Reorder the terms: 2(-3 + x) + 5(x + -7) = 0 (-3 * 2 + x * 2) + 5(x + -7) = 0 (-6 + 2x) + 5(x + -7) = 0 Reorder the terms: -6 + 2x + 5(-7 + x) = 0 -6 + 2x + (-7 * 5 + x * 5) = 0 -6 + 2x + (-35 + 5x) = 0 Reorder the terms: -6 + -35 + 2x + 5x = 0 Combine like terms: -6 + -35 = -41 -41 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -41 + 7x = 0 Solving -41 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 7x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 0 + 41 7x = 0 + 41 Combine like terms: 0 + 41 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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