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Simplifying 6.77x + 1 = 45.8329 + x Reorder the terms: 1 + 6.77x = 45.8329 + x Solving 1 + 6.77x = 45.8329 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 6.77x + -1x = 45.8329 + x + -1x Combine like terms: 6.77x + -1x = 5.77x 1 + 5.77x = 45.8329 + x + -1x Combine like terms: x + -1x = 0 1 + 5.77x = 45.8329 + 0 1 + 5.77x = 45.8329 Add '-1' to each side of the equation. 1 + -1 + 5.77x = 45.8329 + -1 Combine like terms: 1 + -1 = 0 0 + 5.77x = 45.8329 + -1 5.77x = 45.8329 + -1 Combine like terms: 45.8329 + -1 = 44.8329 5.77x = 44.8329 Divide each side by '5.77'. x = 7.77 Simplifying x = 7.77
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