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Simplifying 4x + 10 + 5x + -10 + 3x + 30 + 2x + 50 = 360 Reorder the terms: 10 + -10 + 30 + 50 + 4x + 5x + 3x + 2x = 360 Combine like terms: 10 + -10 = 0 0 + 30 + 50 + 4x + 5x + 3x + 2x = 360 30 + 50 + 4x + 5x + 3x + 2x = 360 Combine like terms: 30 + 50 = 80 80 + 4x + 5x + 3x + 2x = 360 Combine like terms: 4x + 5x = 9x 80 + 9x + 3x + 2x = 360 Combine like terms: 9x + 3x = 12x 80 + 12x + 2x = 360 Combine like terms: 12x + 2x = 14x 80 + 14x = 360 Solving 80 + 14x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 14x = 360 + -80 Combine like terms: 80 + -80 = 0 0 + 14x = 360 + -80 14x = 360 + -80 Combine like terms: 360 + -80 = 280 14x = 280 Divide each side by '14'. x = 20 Simplifying x = 20
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