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Simplifying 6x + 1 = x + 61 Reorder the terms: 1 + 6x = x + 61 Reorder the terms: 1 + 6x = 61 + x Solving 1 + 6x = 61 + 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 + 6x + -1x = 61 + x + -1x Combine like terms: 6x + -1x = 5x 1 + 5x = 61 + x + -1x Combine like terms: x + -1x = 0 1 + 5x = 61 + 0 1 + 5x = 61 Add '-1' to each side of the equation. 1 + -1 + 5x = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 61 + -1 5x = 61 + -1 Combine like terms: 61 + -1 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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