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Simplifying (0.25x + 4) + 0.10y = 10.75 Reorder the terms: (4 + 0.25x) + 0.10y = 10.75 Remove parenthesis around (4 + 0.25x) 4 + 0.25x + 0.10y = 10.75 Solving 4 + 0.25x + 0.10y = 10.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 0.25x + -4 + 0.10y = 10.75 + -4 Reorder the terms: 4 + -4 + 0.25x + 0.10y = 10.75 + -4 Combine like terms: 4 + -4 = 0 0 + 0.25x + 0.10y = 10.75 + -4 0.25x + 0.10y = 10.75 + -4 Combine like terms: 10.75 + -4 = 6.75 0.25x + 0.10y = 6.75 Add '-0.10y' to each side of the equation. 0.25x + 0.10y + -0.10y = 6.75 + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 0.25x + 0.00 = 6.75 + -0.10y 0.25x = 6.75 + -0.10y Divide each side by '0.25'. x = 27 + -0.4y Simplifying x = 27 + -0.4y
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