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Simplifying 3x + 21 + 2 = 6x + -2 + 2x Reorder the terms: 21 + 2 + 3x = 6x + -2 + 2x Combine like terms: 21 + 2 = 23 23 + 3x = 6x + -2 + 2x Reorder the terms: 23 + 3x = -2 + 6x + 2x Combine like terms: 6x + 2x = 8x 23 + 3x = -2 + 8x Solving 23 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x 23 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -5x = -2 + 0 23 + -5x = -2 Add '-23' to each side of the equation. 23 + -23 + -5x = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -2 + -23 -5x = -2 + -23 Combine like terms: -2 + -23 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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