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Simplifying 7x + 13 + 10x + -2 + x + 27 = 180 Reorder the terms: 13 + -2 + 27 + 7x + 10x + x = 180 Combine like terms: 13 + -2 = 11 11 + 27 + 7x + 10x + x = 180 Combine like terms: 11 + 27 = 38 38 + 7x + 10x + x = 180 Combine like terms: 7x + 10x = 17x 38 + 17x + x = 180 Combine like terms: 17x + x = 18x 38 + 18x = 180 Solving 38 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 18x = 180 + -38 Combine like terms: 38 + -38 = 0 0 + 18x = 180 + -38 18x = 180 + -38 Combine like terms: 180 + -38 = 142 18x = 142 Divide each side by '18'. x = 7.888888889 Simplifying x = 7.888888889
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