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Simplifying 2(5x + -7) + -3(x + -5) = 0 Reorder the terms: 2(-7 + 5x) + -3(x + -5) = 0 (-7 * 2 + 5x * 2) + -3(x + -5) = 0 (-14 + 10x) + -3(x + -5) = 0 Reorder the terms: -14 + 10x + -3(-5 + x) = 0 -14 + 10x + (-5 * -3 + x * -3) = 0 -14 + 10x + (15 + -3x) = 0 Reorder the terms: -14 + 15 + 10x + -3x = 0 Combine like terms: -14 + 15 = 1 1 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 1 + 7x = 0 Solving 1 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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