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Simplifying 3x + -6x + -2 = 8x + 20 + -5x Reorder the terms: -2 + 3x + -6x = 8x + 20 + -5x Combine like terms: 3x + -6x = -3x -2 + -3x = 8x + 20 + -5x Reorder the terms: -2 + -3x = 20 + 8x + -5x Combine like terms: 8x + -5x = 3x -2 + -3x = 20 + 3x Solving -2 + -3x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -3x + -3x = 20 + 3x + -3x Combine like terms: -3x + -3x = -6x -2 + -6x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -6x = 20 + 0 -2 + -6x = 20 Add '2' to each side of the equation. -2 + 2 + -6x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 20 + 2 -6x = 20 + 2 Combine like terms: 20 + 2 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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