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Simplifying 2(3x + 1) + 2(2y + 3) = 0 Reorder the terms: 2(1 + 3x) + 2(2y + 3) = 0 (1 * 2 + 3x * 2) + 2(2y + 3) = 0 (2 + 6x) + 2(2y + 3) = 0 Reorder the terms: 2 + 6x + 2(3 + 2y) = 0 2 + 6x + (3 * 2 + 2y * 2) = 0 2 + 6x + (6 + 4y) = 0 Reorder the terms: 2 + 6 + 6x + 4y = 0 Combine like terms: 2 + 6 = 8 8 + 6x + 4y = 0 Solving 8 + 6x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6x + -8 + 4y = 0 + -8 Reorder the terms: 8 + -8 + 6x + 4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6x + 4y = 0 + -8 6x + 4y = 0 + -8 Combine like terms: 0 + -8 = -8 6x + 4y = -8 Add '-4y' to each side of the equation. 6x + 4y + -4y = -8 + -4y Combine like terms: 4y + -4y = 0 6x + 0 = -8 + -4y 6x = -8 + -4y Divide each side by '6'. x = -1.333333333 + -0.6666666667y Simplifying x = -1.333333333 + -0.6666666667y
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