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Simplifying 12x + -6x + 180 = 12x + 102 Reorder the terms: 180 + 12x + -6x = 12x + 102 Combine like terms: 12x + -6x = 6x 180 + 6x = 12x + 102 Reorder the terms: 180 + 6x = 102 + 12x Solving 180 + 6x = 102 + 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. 180 + 6x + -12x = 102 + 12x + -12x Combine like terms: 6x + -12x = -6x 180 + -6x = 102 + 12x + -12x Combine like terms: 12x + -12x = 0 180 + -6x = 102 + 0 180 + -6x = 102 Add '-180' to each side of the equation. 180 + -180 + -6x = 102 + -180 Combine like terms: 180 + -180 = 0 0 + -6x = 102 + -180 -6x = 102 + -180 Combine like terms: 102 + -180 = -78 -6x = -78 Divide each side by '-6'. x = 13 Simplifying x = 13
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