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Simplifying 0.6x + 0.11y = 0.7(x + y) 0.6x + 0.11y = (x * 0.7 + y * 0.7) 0.6x + 0.11y = (0.7x + 0.7y) Solving 0.6x + 0.11y = 0.7x + 0.7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 0.6x + -0.7x + 0.11y = 0.7x + -0.7x + 0.7y Combine like terms: 0.6x + -0.7x = -0.1x -0.1x + 0.11y = 0.7x + -0.7x + 0.7y Combine like terms: 0.7x + -0.7x = 0.0 -0.1x + 0.11y = 0.0 + 0.7y -0.1x + 0.11y = 0.7y Add '-0.11y' to each side of the equation. -0.1x + 0.11y + -0.11y = 0.7y + -0.11y Combine like terms: 0.11y + -0.11y = 0.00 -0.1x + 0.00 = 0.7y + -0.11y -0.1x = 0.7y + -0.11y Combine like terms: 0.7y + -0.11y = 0.59y -0.1x = 0.59y Divide each side by '-0.1'. x = -5.9y Simplifying x = -5.9y
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