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Simplifying 7x + 8(8x + 7) = x + 8(x + 9) Reorder the terms: 7x + 8(7 + 8x) = x + 8(x + 9) 7x + (7 * 8 + 8x * 8) = x + 8(x + 9) 7x + (56 + 64x) = x + 8(x + 9) Reorder the terms: 56 + 7x + 64x = x + 8(x + 9) Combine like terms: 7x + 64x = 71x 56 + 71x = x + 8(x + 9) Reorder the terms: 56 + 71x = x + 8(9 + x) 56 + 71x = x + (9 * 8 + x * 8) 56 + 71x = x + (72 + 8x) Reorder the terms: 56 + 71x = 72 + x + 8x Combine like terms: x + 8x = 9x 56 + 71x = 72 + 9x Solving 56 + 71x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 56 + 71x + -9x = 72 + 9x + -9x Combine like terms: 71x + -9x = 62x 56 + 62x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 56 + 62x = 72 + 0 56 + 62x = 72 Add '-56' to each side of the equation. 56 + -56 + 62x = 72 + -56 Combine like terms: 56 + -56 = 0 0 + 62x = 72 + -56 62x = 72 + -56 Combine like terms: 72 + -56 = 16 62x = 16 Divide each side by '62'. x = 0.2580645161 Simplifying x = 0.2580645161
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