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Simplifying (x + -8) + -1(x + 9) = 7x Reorder the terms: (-8 + x) + -1(x + 9) = 7x Remove parenthesis around (-8 + x) -8 + x + -1(x + 9) = 7x Reorder the terms: -8 + x + -1(9 + x) = 7x -8 + x + (9 * -1 + x * -1) = 7x -8 + x + (-9 + -1x) = 7x Reorder the terms: -8 + -9 + x + -1x = 7x Combine like terms: -8 + -9 = -17 -17 + x + -1x = 7x Combine like terms: x + -1x = 0 -17 + 0 = 7x -17 = 7x Solving -17 = 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. -17 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -7x = 0 Add '17' to each side of the equation. -17 + 17 + -7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 0 + 17 -7x = 0 + 17 Combine like terms: 0 + 17 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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