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Simplifying (5x + 1)(2y) = 2 Reorder the terms: (1 + 5x)(2y) = 2 Remove parenthesis around (2y) (1 + 5x) * 2y = 2 Reorder the terms for easier multiplication: 2y(1 + 5x) = 2 (1 * 2y + 5x * 2y) = 2 Reorder the terms: (10xy + 2y) = 2 (10xy + 2y) = 2 Solving 10xy + 2y = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 10xy + 2y + -2y = 2 + -2y Combine like terms: 2y + -2y = 0 10xy + 0 = 2 + -2y 10xy = 2 + -2y Divide each side by '10y'. x = 0.2y-1 + -0.2 Simplifying x = 0.2y-1 + -0.2 Reorder the terms: x = -0.2 + 0.2y-1
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