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Simplifying 9(x + 1) = 9(1 + 7x) + x Reorder the terms: 9(1 + x) = 9(1 + 7x) + x (1 * 9 + x * 9) = 9(1 + 7x) + x (9 + 9x) = 9(1 + 7x) + x 9 + 9x = (1 * 9 + 7x * 9) + x 9 + 9x = (9 + 63x) + x Combine like terms: 63x + x = 64x 9 + 9x = 9 + 64x Add '-9' to each side of the equation. 9 + -9 + 9x = 9 + -9 + 64x Combine like terms: 9 + -9 = 0 0 + 9x = 9 + -9 + 64x 9x = 9 + -9 + 64x Combine like terms: 9 + -9 = 0 9x = 0 + 64x 9x = 64x Solving 9x = 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 9x + -64x = 64x + -64x Combine like terms: 9x + -64x = -55x -55x = 64x + -64x Combine like terms: 64x + -64x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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