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Simplifying 5x + y = 10 + -5x Solving 5x + y = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5x + 5x + y = 10 + -5x + 5x Combine like terms: 5x + 5x = 10x 10x + y = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 10x + y = 10 + 0 10x + y = 10 Add '-1y' to each side of the equation. 10x + y + -1y = 10 + -1y Combine like terms: y + -1y = 0 10x + 0 = 10 + -1y 10x = 10 + -1y Divide each side by '10'. x = 1 + -0.1y Simplifying x = 1 + -0.1y
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