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Simplifying 2x + 4 + 3x + -6 = 8 + -1x Reorder the terms: 4 + -6 + 2x + 3x = 8 + -1x Combine like terms: 4 + -6 = -2 -2 + 2x + 3x = 8 + -1x Combine like terms: 2x + 3x = 5x -2 + 5x = 8 + -1x Solving -2 + 5x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 5x + x = 8 + -1x + x Combine like terms: 5x + x = 6x -2 + 6x = 8 + -1x + x Combine like terms: -1x + x = 0 -2 + 6x = 8 + 0 -2 + 6x = 8 Add '2' to each side of the equation. -2 + 2 + 6x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 8 + 2 6x = 8 + 2 Combine like terms: 8 + 2 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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