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Simplifying 5 + -4 + 7x + 1 = 1x + 6 Reorder the terms: 5 + -4 + 1 + 7x = 1x + 6 Combine like terms: 5 + -4 = 1 1 + 1 + 7x = 1x + 6 Combine like terms: 1 + 1 = 2 2 + 7x = 1x + 6 Reorder the terms: 2 + 7x = 6 + 1x Solving 2 + 7x = 6 + 1x 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. 2 + 7x + -1x = 6 + 1x + -1x Combine like terms: 7x + -1x = 6x 2 + 6x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 6x = 6 + 0 2 + 6x = 6 Add '-2' to each side of the equation. 2 + -2 + 6x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 6 + -2 6x = 6 + -2 Combine like terms: 6 + -2 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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