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Simplifying 3(2x + 1) + -1(3y + 4) = 0 Reorder the terms: 3(1 + 2x) + -1(3y + 4) = 0 (1 * 3 + 2x * 3) + -1(3y + 4) = 0 (3 + 6x) + -1(3y + 4) = 0 Reorder the terms: 3 + 6x + -1(4 + 3y) = 0 3 + 6x + (4 * -1 + 3y * -1) = 0 3 + 6x + (-4 + -3y) = 0 Reorder the terms: 3 + -4 + 6x + -3y = 0 Combine like terms: 3 + -4 = -1 -1 + 6x + -3y = 0 Solving -1 + 6x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6x + 1 + -3y = 0 + 1 Reorder the terms: -1 + 1 + 6x + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + -3y = 0 + 1 6x + -3y = 0 + 1 Combine like terms: 0 + 1 = 1 6x + -3y = 1 Add '3y' to each side of the equation. 6x + -3y + 3y = 1 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = 1 + 3y 6x = 1 + 3y Divide each side by '6'. x = 0.1666666667 + 0.5y Simplifying x = 0.1666666667 + 0.5y
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