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Simplifying 5 = x + -1(y + 0.1x) Reorder the terms: 5 = x + -1(0.1x + y) 5 = x + (0.1x * -1 + y * -1) 5 = x + (-0.1x + -1y) Combine like terms: x + -0.1x = 0.9x 5 = 0.9x + -1y Solving 5 = 0.9x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 5 + -0.9x = 0.9x + -0.9x + -1y Combine like terms: 0.9x + -0.9x = 0.0 5 + -0.9x = 0.0 + -1y 5 + -0.9x = -1y Add '-5' to each side of the equation. 5 + -5 + -0.9x = -5 + -1y Combine like terms: 5 + -5 = 0 0 + -0.9x = -5 + -1y -0.9x = -5 + -1y Divide each side by '-0.9'. x = 5.555555556 + 1.111111111y Simplifying x = 5.555555556 + 1.111111111y
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