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Simplifying (3a + 1) * x + -5y = 10 Reorder the terms: (1 + 3a) * x + -5y = 10 Reorder the terms for easier multiplication: x(1 + 3a) + -5y = 10 (1 * x + 3a * x) + -5y = 10 Reorder the terms: (3ax + 1x) + -5y = 10 (3ax + 1x) + -5y = 10 Solving 3ax + 1x + -5y = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 3ax + 1x + -1x + -5y = 10 + -1x Combine like terms: 1x + -1x = 0 3ax + 0 + -5y = 10 + -1x 3ax + -5y = 10 + -1x Add '5y' to each side of the equation. 3ax + -5y + 5y = 10 + -1x + 5y Combine like terms: -5y + 5y = 0 3ax + 0 = 10 + -1x + 5y 3ax = 10 + -1x + 5y Divide each side by '3x'. a = 3.333333333x-1 + -0.3333333333 + 1.666666667x-1y Simplifying a = 3.333333333x-1 + -0.3333333333 + 1.666666667x-1y Reorder the terms: a = -0.3333333333 + 3.333333333x-1 + 1.666666667x-1y
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