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Simplifying 3x + 7x + -2x + -5y = 17 + -5 + 3x Combine like terms: 3x + 7x = 10x 10x + -2x + -5y = 17 + -5 + 3x Combine like terms: 10x + -2x = 8x 8x + -5y = 17 + -5 + 3x Combine like terms: 17 + -5 = 12 8x + -5y = 12 + 3x Solving 8x + -5y = 12 + 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. 8x + -3x + -5y = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x 5x + -5y = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 5x + -5y = 12 + 0 5x + -5y = 12 Add '5y' to each side of the equation. 5x + -5y + 5y = 12 + 5y Combine like terms: -5y + 5y = 0 5x + 0 = 12 + 5y 5x = 12 + 5y Divide each side by '5'. x = 2.4 + y Simplifying x = 2.4 + y
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