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Simplifying 6x + 5 + 4x + -2 + 8x + 21 = 180 Reorder the terms: 5 + -2 + 21 + 6x + 4x + 8x = 180 Combine like terms: 5 + -2 = 3 3 + 21 + 6x + 4x + 8x = 180 Combine like terms: 3 + 21 = 24 24 + 6x + 4x + 8x = 180 Combine like terms: 6x + 4x = 10x 24 + 10x + 8x = 180 Combine like terms: 10x + 8x = 18x 24 + 18x = 180 Solving 24 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 18x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 180 + -24 18x = 180 + -24 Combine like terms: 180 + -24 = 156 18x = 156 Divide each side by '18'. x = 8.666666667 Simplifying x = 8.666666667
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