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Simplifying 6x + 2x + -1 = 5x + 1 Reorder the terms: -1 + 6x + 2x = 5x + 1 Combine like terms: 6x + 2x = 8x -1 + 8x = 5x + 1 Reorder the terms: -1 + 8x = 1 + 5x Solving -1 + 8x = 1 + 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 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x -1 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 3x = 1 + 0 -1 + 3x = 1 Add '1' to each side of the equation. -1 + 1 + 3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 1 + 1 3x = 1 + 1 Combine like terms: 1 + 1 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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