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Simplifying 6x + 21 = 8x + 9 Reorder the terms: 21 + 6x = 8x + 9 Reorder the terms: 21 + 6x = 9 + 8x Solving 21 + 6x = 9 + 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. 21 + 6x + -8x = 9 + 8x + -8x Combine like terms: 6x + -8x = -2x 21 + -2x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -2x = 9 + 0 21 + -2x = 9 Add '-21' to each side of the equation. 21 + -21 + -2x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 9 + -21 -2x = 9 + -21 Combine like terms: 9 + -21 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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