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Simplifying 9x + 21 = 6x + 75 Reorder the terms: 21 + 9x = 6x + 75 Reorder the terms: 21 + 9x = 75 + 6x Solving 21 + 9x = 75 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 9x + -6x = 75 + 6x + -6x Combine like terms: 9x + -6x = 3x 21 + 3x = 75 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 3x = 75 + 0 21 + 3x = 75 Add '-21' to each side of the equation. 21 + -21 + 3x = 75 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 75 + -21 3x = 75 + -21 Combine like terms: 75 + -21 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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