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Simplifying 0.11 = 0.28x + 0.16y + (1 + -1x + -1y)(0.05) Reorder the terms for easier multiplication: 0.11 = 0.28x + 0.16y + 0.05(1 + -1x + -1y) 0.11 = 0.28x + 0.16y + (1 * 0.05 + -1x * 0.05 + -1y * 0.05) 0.11 = 0.28x + 0.16y + (0.05 + -0.05x + -0.05y) Reorder the terms: 0.11 = 0.05 + 0.28x + -0.05x + 0.16y + -0.05y Combine like terms: 0.28x + -0.05x = 0.23x 0.11 = 0.05 + 0.23x + 0.16y + -0.05y Combine like terms: 0.16y + -0.05y = 0.11y 0.11 = 0.05 + 0.23x + 0.11y Solving 0.11 = 0.05 + 0.23x + 0.11y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.23x' to each side of the equation. 0.11 + -0.23x = 0.05 + 0.23x + -0.23x + 0.11y Combine like terms: 0.23x + -0.23x = 0.00 0.11 + -0.23x = 0.05 + 0.00 + 0.11y 0.11 + -0.23x = 0.05 + 0.11y Add '-0.11' to each side of the equation. 0.11 + -0.11 + -0.23x = 0.05 + -0.11 + 0.11y Combine like terms: 0.11 + -0.11 = 0.00 0.00 + -0.23x = 0.05 + -0.11 + 0.11y -0.23x = 0.05 + -0.11 + 0.11y Combine like terms: 0.05 + -0.11 = -0.06 -0.23x = -0.06 + 0.11y Divide each side by '-0.23'. x = 0.2608695652 + -0.4782608696y Simplifying x = 0.2608695652 + -0.4782608696y
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