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Simplifying 3(4x + -2) + 2(x + 2y) = 0 Reorder the terms: 3(-2 + 4x) + 2(x + 2y) = 0 (-2 * 3 + 4x * 3) + 2(x + 2y) = 0 (-6 + 12x) + 2(x + 2y) = 0 -6 + 12x + (x * 2 + 2y * 2) = 0 -6 + 12x + (2x + 4y) = 0 Combine like terms: 12x + 2x = 14x -6 + 14x + 4y = 0 Solving -6 + 14x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 14x + 6 + 4y = 0 + 6 Reorder the terms: -6 + 6 + 14x + 4y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 14x + 4y = 0 + 6 14x + 4y = 0 + 6 Combine like terms: 0 + 6 = 6 14x + 4y = 6 Add '-4y' to each side of the equation. 14x + 4y + -4y = 6 + -4y Combine like terms: 4y + -4y = 0 14x + 0 = 6 + -4y 14x = 6 + -4y Divide each side by '14'. x = 0.4285714286 + -0.2857142857y Simplifying x = 0.4285714286 + -0.2857142857y
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