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Simplifying 2x + 160 = -3x + 280 Reorder the terms: 160 + 2x = -3x + 280 Reorder the terms: 160 + 2x = 280 + -3x Solving 160 + 2x = 280 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 160 + 2x + 3x = 280 + -3x + 3x Combine like terms: 2x + 3x = 5x 160 + 5x = 280 + -3x + 3x Combine like terms: -3x + 3x = 0 160 + 5x = 280 + 0 160 + 5x = 280 Add '-160' to each side of the equation. 160 + -160 + 5x = 280 + -160 Combine like terms: 160 + -160 = 0 0 + 5x = 280 + -160 5x = 280 + -160 Combine like terms: 280 + -160 = 120 5x = 120 Divide each side by '5'. x = 24 Simplifying x = 24
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