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Simplifying 3x + 78 = 9x + 12x Reorder the terms: 78 + 3x = 9x + 12x Combine like terms: 9x + 12x = 21x 78 + 3x = 21x Solving 78 + 3x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 78 + 3x + -21x = 21x + -21x Combine like terms: 3x + -21x = -18x 78 + -18x = 21x + -21x Combine like terms: 21x + -21x = 0 78 + -18x = 0 Add '-78' to each side of the equation. 78 + -78 + -18x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -18x = 0 + -78 -18x = 0 + -78 Combine like terms: 0 + -78 = -78 -18x = -78 Divide each side by '-18'. x = 4.333333333 Simplifying x = 4.333333333
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