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Simplifying 9(x + -8) + -1(7 + -9x) = 17x Reorder the terms: 9(-8 + x) + -1(7 + -9x) = 17x (-8 * 9 + x * 9) + -1(7 + -9x) = 17x (-72 + 9x) + -1(7 + -9x) = 17x -72 + 9x + (7 * -1 + -9x * -1) = 17x -72 + 9x + (-7 + 9x) = 17x Reorder the terms: -72 + -7 + 9x + 9x = 17x Combine like terms: -72 + -7 = -79 -79 + 9x + 9x = 17x Combine like terms: 9x + 9x = 18x -79 + 18x = 17x Solving -79 + 18x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -79 + 18x + -17x = 17x + -17x Combine like terms: 18x + -17x = 1x -79 + 1x = 17x + -17x Combine like terms: 17x + -17x = 0 -79 + 1x = 0 Add '79' to each side of the equation. -79 + 79 + 1x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 1x = 0 + 79 1x = 0 + 79 Combine like terms: 0 + 79 = 79 1x = 79 Divide each side by '1'. x = 79 Simplifying x = 79
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