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Simplifying 0.85(x + y) = x (x * 0.85 + y * 0.85) = x (0.85x + 0.85y) = x Solving 0.85x + 0.85y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.85x + -1x + 0.85y = x + -1x Combine like terms: 0.85x + -1x = -0.15x -0.15x + 0.85y = x + -1x Combine like terms: x + -1x = 0 -0.15x + 0.85y = 0 Add '-0.85y' to each side of the equation. -0.15x + 0.85y + -0.85y = 0 + -0.85y Combine like terms: 0.85y + -0.85y = 0.00 -0.15x + 0.00 = 0 + -0.85y -0.15x = 0 + -0.85y Remove the zero: -0.15x = -0.85y Divide each side by '-0.15'. x = 5.666666667y Simplifying x = 5.666666667y
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