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Simplifying -5x + 1 = 6x + x Reorder the terms: 1 + -5x = 6x + x Combine like terms: 6x + x = 7x 1 + -5x = 7x Solving 1 + -5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -5x + -7x = 7x + -7x Combine like terms: -5x + -7x = -12x 1 + -12x = 7x + -7x Combine like terms: 7x + -7x = 0 1 + -12x = 0 Add '-1' to each side of the equation. 1 + -1 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333
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