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Simplifying 12x + -6x + 198 = 12x + 78 Reorder the terms: 198 + 12x + -6x = 12x + 78 Combine like terms: 12x + -6x = 6x 198 + 6x = 12x + 78 Reorder the terms: 198 + 6x = 78 + 12x Solving 198 + 6x = 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. 198 + 6x + -12x = 78 + 12x + -12x Combine like terms: 6x + -12x = -6x 198 + -6x = 78 + 12x + -12x Combine like terms: 12x + -12x = 0 198 + -6x = 78 + 0 198 + -6x = 78 Add '-198' to each side of the equation. 198 + -198 + -6x = 78 + -198 Combine like terms: 198 + -198 = 0 0 + -6x = 78 + -198 -6x = 78 + -198 Combine like terms: 78 + -198 = -120 -6x = -120 Divide each side by '-6'. x = 20 Simplifying x = 20
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