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Simplifying 14x + -13 + 4x + 13 + 6x + 2 = 180 Reorder the terms: -13 + 13 + 2 + 14x + 4x + 6x = 180 Combine like terms: -13 + 13 = 0 0 + 2 + 14x + 4x + 6x = 180 2 + 14x + 4x + 6x = 180 Combine like terms: 14x + 4x = 18x 2 + 18x + 6x = 180 Combine like terms: 18x + 6x = 24x 2 + 24x = 180 Solving 2 + 24x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 24x = 180 + -2 Combine like terms: 2 + -2 = 0 0 + 24x = 180 + -2 24x = 180 + -2 Combine like terms: 180 + -2 = 178 24x = 178 Divide each side by '24'. x = 7.416666667 Simplifying x = 7.416666667
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