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Simplifying -9(x + 8) + -1(6 + 7x) = -17x Reorder the terms: -9(8 + x) + -1(6 + 7x) = -17x (8 * -9 + x * -9) + -1(6 + 7x) = -17x (-72 + -9x) + -1(6 + 7x) = -17x -72 + -9x + (6 * -1 + 7x * -1) = -17x -72 + -9x + (-6 + -7x) = -17x Reorder the terms: -72 + -6 + -9x + -7x = -17x Combine like terms: -72 + -6 = -78 -78 + -9x + -7x = -17x Combine like terms: -9x + -7x = -16x -78 + -16x = -17x Solving -78 + -16x = -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. -78 + -16x + 17x = -17x + 17x Combine like terms: -16x + 17x = 1x -78 + 1x = -17x + 17x Combine like terms: -17x + 17x = 0 -78 + 1x = 0 Add '78' to each side of the equation. -78 + 78 + 1x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 1x = 0 + 78 1x = 0 + 78 Combine like terms: 0 + 78 = 78 1x = 78 Divide each side by '1'. x = 78 Simplifying x = 78
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