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Simplifying -217 = 7(6x + 9) + -7x Reorder the terms: -217 = 7(9 + 6x) + -7x -217 = (9 * 7 + 6x * 7) + -7x -217 = (63 + 42x) + -7x Combine like terms: 42x + -7x = 35x -217 = 63 + 35x Solving -217 = 63 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -217 + -35x = 63 + 35x + -35x Combine like terms: 35x + -35x = 0 -217 + -35x = 63 + 0 -217 + -35x = 63 Add '217' to each side of the equation. -217 + 217 + -35x = 63 + 217 Combine like terms: -217 + 217 = 0 0 + -35x = 63 + 217 -35x = 63 + 217 Combine like terms: 63 + 217 = 280 -35x = 280 Divide each side by '-35'. x = -8 Simplifying x = -8
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