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Simplifying 2(3x + 2) + (2y + 1) = 0 Reorder the terms: 2(2 + 3x) + (2y + 1) = 0 (2 * 2 + 3x * 2) + (2y + 1) = 0 (4 + 6x) + (2y + 1) = 0 Reorder the terms: 4 + 6x + (1 + 2y) = 0 Remove parenthesis around (1 + 2y) 4 + 6x + 1 + 2y = 0 Reorder the terms: 4 + 1 + 6x + 2y = 0 Combine like terms: 4 + 1 = 5 5 + 6x + 2y = 0 Solving 5 + 6x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6x + -5 + 2y = 0 + -5 Reorder the terms: 5 + -5 + 6x + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x + 2y = 0 + -5 6x + 2y = 0 + -5 Combine like terms: 0 + -5 = -5 6x + 2y = -5 Add '-2y' to each side of the equation. 6x + 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = -5 + -2y 6x = -5 + -2y Divide each side by '6'. x = -0.8333333333 + -0.3333333333y Simplifying x = -0.8333333333 + -0.3333333333y
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