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Simplifying 2(3x + 5 + -2y) = 0 Reorder the terms: 2(5 + 3x + -2y) = 0 (5 * 2 + 3x * 2 + -2y * 2) = 0 (10 + 6x + -4y) = 0 Solving 10 + 6x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6x + -10 + -4y = 0 + -10 Reorder the terms: 10 + -10 + 6x + -4y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + -4y = 0 + -10 6x + -4y = 0 + -10 Combine like terms: 0 + -10 = -10 6x + -4y = -10 Add '4y' to each side of the equation. 6x + -4y + 4y = -10 + 4y Combine like terms: -4y + 4y = 0 6x + 0 = -10 + 4y 6x = -10 + 4y Divide each side by '6'. x = -1.666666667 + 0.6666666667y Simplifying x = -1.666666667 + 0.6666666667y
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