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Simplifying 3x + -27 + 3x + 69 + 3x + 21 + 5x + -41 + 4x + 8 = 180 Reorder the terms: -27 + 69 + 21 + -41 + 8 + 3x + 3x + 3x + 5x + 4x = 180 Combine like terms: -27 + 69 = 42 42 + 21 + -41 + 8 + 3x + 3x + 3x + 5x + 4x = 180 Combine like terms: 42 + 21 = 63 63 + -41 + 8 + 3x + 3x + 3x + 5x + 4x = 180 Combine like terms: 63 + -41 = 22 22 + 8 + 3x + 3x + 3x + 5x + 4x = 180 Combine like terms: 22 + 8 = 30 30 + 3x + 3x + 3x + 5x + 4x = 180 Combine like terms: 3x + 3x = 6x 30 + 6x + 3x + 5x + 4x = 180 Combine like terms: 6x + 3x = 9x 30 + 9x + 5x + 4x = 180 Combine like terms: 9x + 5x = 14x 30 + 14x + 4x = 180 Combine like terms: 14x + 4x = 18x 30 + 18x = 180 Solving 30 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 180 + -30 18x = 180 + -30 Combine like terms: 180 + -30 = 150 18x = 150 Divide each side by '18'. x = 8.333333333 Simplifying x = 8.333333333
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