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Simplifying 1x + -6 = 5(2 + -1x) Reorder the terms: -6 + 1x = 5(2 + -1x) -6 + 1x = (2 * 5 + -1x * 5) -6 + 1x = (10 + -5x) Solving -6 + 1x = 10 + -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. -6 + 1x + 5x = 10 + -5x + 5x Combine like terms: 1x + 5x = 6x -6 + 6x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 6x = 10 + 0 -6 + 6x = 10 Add '6' to each side of the equation. -6 + 6 + 6x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 10 + 6 6x = 10 + 6 Combine like terms: 10 + 6 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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