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Simplifying -6x + -21 = 5x + 17 + x Reorder the terms: -21 + -6x = 5x + 17 + x Reorder the terms: -21 + -6x = 17 + 5x + x Combine like terms: 5x + x = 6x -21 + -6x = 17 + 6x Solving -21 + -6x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + -6x + -6x = 17 + 6x + -6x Combine like terms: -6x + -6x = -12x -21 + -12x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -12x = 17 + 0 -21 + -12x = 17 Add '21' to each side of the equation. -21 + 21 + -12x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = 17 + 21 -12x = 17 + 21 Combine like terms: 17 + 21 = 38 -12x = 38 Divide each side by '-12'. x = -3.166666667 Simplifying x = -3.166666667
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