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Simplifying 6x + 1 = 4x + 1 + x + 1 Reorder the terms: 1 + 6x = 4x + 1 + x + 1 Reorder the terms: 1 + 6x = 1 + 1 + 4x + x Combine like terms: 1 + 1 = 2 1 + 6x = 2 + 4x + x Combine like terms: 4x + x = 5x 1 + 6x = 2 + 5x Solving 1 + 6x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = 2 + 0 1 + 1x = 2 Add '-1' to each side of the equation. 1 + -1 + 1x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 2 + -1 1x = 2 + -1 Combine like terms: 2 + -1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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