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Simplifying -8 + -2x = 6x + 21 Reorder the terms: -8 + -2x = 21 + 6x Solving -8 + -2x = 21 + 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. -8 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = 21 + 0 -8 + -8x = 21 Add '8' to each side of the equation. -8 + 8 + -8x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 21 + 8 -8x = 21 + 8 Combine like terms: 21 + 8 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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