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Simplifying 7(5 + -1(7x + -10)) + 8x = 0 Reorder the terms: 7(5 + -1(-10 + 7x)) + 8x = 0 7(5 + (-10 * -1 + 7x * -1)) + 8x = 0 7(5 + (10 + -7x)) + 8x = 0 Combine like terms: 5 + 10 = 15 7(15 + -7x) + 8x = 0 (15 * 7 + -7x * 7) + 8x = 0 (105 + -49x) + 8x = 0 Combine like terms: -49x + 8x = -41x 105 + -41x = 0 Solving 105 + -41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -41x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -41x = 0 + -105 -41x = 0 + -105 Combine like terms: 0 + -105 = -105 -41x = -105 Divide each side by '-41'. x = 2.56097561 Simplifying x = 2.56097561
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