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Simplifying 1 + 6x = -1x + 1 Reorder the terms: 1 + 6x = 1 + -1x Add '-1' to each side of the equation. 1 + -1 + 6x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + 6x = 1 + -1 + -1x 6x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 6x = 0 + -1x 6x = -1x Solving 6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6x + x = -1x + x Combine like terms: 6x + x = 7x 7x = -1x + x Combine like terms: -1x + x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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