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Simplifying x(2y) + (x + 7)(4y) = 182 Remove parenthesis around (2y) x * 2y + (x + 7)(4y) = 182 Reorder the terms for easier multiplication: 2x * y + (x + 7)(4y) = 182 Multiply x * y 2xy + (x + 7)(4y) = 182 Reorder the terms: 2xy + (7 + x)(4y) = 182 Remove parenthesis around (4y) 2xy + (7 + x) * 4y = 182 Reorder the terms for easier multiplication: 2xy + 4y(7 + x) = 182 2xy + (7 * 4y + x * 4y) = 182 Reorder the terms: 2xy + (4xy + 28y) = 182 2xy + (4xy + 28y) = 182 Combine like terms: 2xy + 4xy = 6xy 6xy + 28y = 182 Solving 6xy + 28y = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. 6xy + 28y + -28y = 182 + -28y Combine like terms: 28y + -28y = 0 6xy + 0 = 182 + -28y 6xy = 182 + -28y Divide each side by '6y'. x = 30.33333333y-1 + -4.666666667 Simplifying x = 30.33333333y-1 + -4.666666667 Reorder the terms: x = -4.666666667 + 30.33333333y-1
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