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Simplifying 78 = (17 + 6) + -1(7x + -2) Combine like terms: 17 + 6 = 23 78 = (23) + -1(7x + -2) 78 = 23 + -1(7x + -2) Reorder the terms: 78 = 23 + -1(-2 + 7x) 78 = 23 + (-2 * -1 + 7x * -1) 78 = 23 + (2 + -7x) Combine like terms: 23 + 2 = 25 78 = 25 + -7x Solving 78 = 25 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 78 + 7x = 25 + -7x + 7x Combine like terms: -7x + 7x = 0 78 + 7x = 25 + 0 78 + 7x = 25 Add '-78' to each side of the equation. 78 + -78 + 7x = 25 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = 25 + -78 7x = 25 + -78 Combine like terms: 25 + -78 = -53 7x = -53 Divide each side by '7'. x = -7.571428571 Simplifying x = -7.571428571
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