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Simplifying 4x + 10 + 3x + 31 + 4x + -8 + 7x + -23 + 3x + 5 = 180 Reorder the terms: 10 + 31 + -8 + -23 + 5 + 4x + 3x + 4x + 7x + 3x = 180 Combine like terms: 10 + 31 = 41 41 + -8 + -23 + 5 + 4x + 3x + 4x + 7x + 3x = 180 Combine like terms: 41 + -8 = 33 33 + -23 + 5 + 4x + 3x + 4x + 7x + 3x = 180 Combine like terms: 33 + -23 = 10 10 + 5 + 4x + 3x + 4x + 7x + 3x = 180 Combine like terms: 10 + 5 = 15 15 + 4x + 3x + 4x + 7x + 3x = 180 Combine like terms: 4x + 3x = 7x 15 + 7x + 4x + 7x + 3x = 180 Combine like terms: 7x + 4x = 11x 15 + 11x + 7x + 3x = 180 Combine like terms: 11x + 7x = 18x 15 + 18x + 3x = 180 Combine like terms: 18x + 3x = 21x 15 + 21x = 180 Solving 15 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 21x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = 180 + -15 21x = 180 + -15 Combine like terms: 180 + -15 = 165 21x = 165 Divide each side by '21'. x = 7.857142857 Simplifying x = 7.857142857
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