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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 = 29 29 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 29 + 7x = 0 Solving 29 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 0 + -29 7x = 0 + -29 Combine like terms: 0 + -29 = -29 7x = -29 Divide each side by '7'. x = -4.142857143 Simplifying x = -4.142857143
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