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Simplifying (12x + 11y) + -1(6x + 8y) = 7275 Remove parenthesis around (12x + 11y) 12x + 11y + -1(6x + 8y) = 7275 12x + 11y + (6x * -1 + 8y * -1) = 7275 12x + 11y + (-6x + -8y) = 7275 Reorder the terms: 12x + -6x + 11y + -8y = 7275 Combine like terms: 12x + -6x = 6x 6x + 11y + -8y = 7275 Combine like terms: 11y + -8y = 3y 6x + 3y = 7275 Solving 6x + 3y = 7275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 6x + 3y + -3y = 7275 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 7275 + -3y 6x = 7275 + -3y Divide each side by '6'. x = 1212.5 + -0.5y Simplifying x = 1212.5 + -0.5y
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