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Simplifying 4x + -2 + 5x + 10 + 3x + -8 + 5x + 10 = 180 Reorder the terms: -2 + 10 + -8 + 10 + 4x + 5x + 3x + 5x = 180 Combine like terms: -2 + 10 = 8 8 + -8 + 10 + 4x + 5x + 3x + 5x = 180 Combine like terms: 8 + -8 = 0 0 + 10 + 4x + 5x + 3x + 5x = 180 10 + 4x + 5x + 3x + 5x = 180 Combine like terms: 4x + 5x = 9x 10 + 9x + 3x + 5x = 180 Combine like terms: 9x + 3x = 12x 10 + 12x + 5x = 180 Combine like terms: 12x + 5x = 17x 10 + 17x = 180 Solving 10 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 17x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 180 + -10 17x = 180 + -10 Combine like terms: 180 + -10 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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