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Simplifying 6x + 78 + 7x + 24 = 180 Reorder the terms: 78 + 24 + 6x + 7x = 180 Combine like terms: 78 + 24 = 102 102 + 6x + 7x = 180 Combine like terms: 6x + 7x = 13x 102 + 13x = 180 Solving 102 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 13x = 180 + -102 Combine like terms: 102 + -102 = 0 0 + 13x = 180 + -102 13x = 180 + -102 Combine like terms: 180 + -102 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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