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Simplifying 3x + 22 = 12x + -78 Reorder the terms: 22 + 3x = 12x + -78 Reorder the terms: 22 + 3x = -78 + 12x Solving 22 + 3x = -78 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 22 + 3x + -12x = -78 + 12x + -12x Combine like terms: 3x + -12x = -9x 22 + -9x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -9x = -78 + 0 22 + -9x = -78 Add '-22' to each side of the equation. 22 + -22 + -9x = -78 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -78 + -22 -9x = -78 + -22 Combine like terms: -78 + -22 = -100 -9x = -100 Divide each side by '-9'. x = 11.11111111 Simplifying x = 11.11111111
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