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Simplifying 5 + -21 = 6x + -8 + -5x Combine like terms: 5 + -21 = -16 -16 = 6x + -8 + -5x Reorder the terms: -16 = -8 + 6x + -5x Combine like terms: 6x + -5x = 1x -16 = -8 + 1x Solving -16 = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -1x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + -1x = -8 + 0 -16 + -1x = -8 Add '16' to each side of the equation. -16 + 16 + -1x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -8 + 16 -1x = -8 + 16 Combine like terms: -8 + 16 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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