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Simplifying 6x + 21 = 5 + -2x Reorder the terms: 21 + 6x = 5 + -2x Solving 21 + 6x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + 6x + 2x = 5 + -2x + 2x Combine like terms: 6x + 2x = 8x 21 + 8x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 8x = 5 + 0 21 + 8x = 5 Add '-21' to each side of the equation. 21 + -21 + 8x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 5 + -21 8x = 5 + -21 Combine like terms: 5 + -21 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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