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Simplifying 12x + -6x + 204 = 12x + 120 Reorder the terms: 204 + 12x + -6x = 12x + 120 Combine like terms: 12x + -6x = 6x 204 + 6x = 12x + 120 Reorder the terms: 204 + 6x = 120 + 12x Solving 204 + 6x = 120 + 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. 204 + 6x + -12x = 120 + 12x + -12x Combine like terms: 6x + -12x = -6x 204 + -6x = 120 + 12x + -12x Combine like terms: 12x + -12x = 0 204 + -6x = 120 + 0 204 + -6x = 120 Add '-204' to each side of the equation. 204 + -204 + -6x = 120 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = 120 + -204 -6x = 120 + -204 Combine like terms: 120 + -204 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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