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Simplifying x + 6 = 6x + 1 Reorder the terms: 6 + x = 6x + 1 Reorder the terms: 6 + x = 1 + 6x Solving 6 + x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + x + -6x = 1 + 6x + -6x Combine like terms: x + -6x = -5x 6 + -5x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -5x = 1 + 0 6 + -5x = 1 Add '-6' to each side of the equation. 6 + -6 + -5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 1 + -6 -5x = 1 + -6 Combine like terms: 1 + -6 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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