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Simplifying 1 + -5x = 1 + x + 6 Reorder the terms: 1 + -5x = 1 + 6 + x Combine like terms: 1 + 6 = 7 1 + -5x = 7 + x Solving 1 + -5x = 7 + 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 + -5x + -1x = 7 + x + -1x Combine like terms: -5x + -1x = -6x 1 + -6x = 7 + x + -1x Combine like terms: x + -1x = 0 1 + -6x = 7 + 0 1 + -6x = 7 Add '-1' to each side of the equation. 1 + -1 + -6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 7 + -1 -6x = 7 + -1 Combine like terms: 7 + -1 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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