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Simplifying 2x + 1 + 3x + 21 = 9x + 6 Reorder the terms: 1 + 21 + 2x + 3x = 9x + 6 Combine like terms: 1 + 21 = 22 22 + 2x + 3x = 9x + 6 Combine like terms: 2x + 3x = 5x 22 + 5x = 9x + 6 Reorder the terms: 22 + 5x = 6 + 9x Solving 22 + 5x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + 5x + -9x = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x 22 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -4x = 6 + 0 22 + -4x = 6 Add '-22' to each side of the equation. 22 + -22 + -4x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 6 + -22 -4x = 6 + -22 Combine like terms: 6 + -22 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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