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Simplifying 3(2x + -4) + 2(3y + -1) = 0 Reorder the terms: 3(-4 + 2x) + 2(3y + -1) = 0 (-4 * 3 + 2x * 3) + 2(3y + -1) = 0 (-12 + 6x) + 2(3y + -1) = 0 Reorder the terms: -12 + 6x + 2(-1 + 3y) = 0 -12 + 6x + (-1 * 2 + 3y * 2) = 0 -12 + 6x + (-2 + 6y) = 0 Reorder the terms: -12 + -2 + 6x + 6y = 0 Combine like terms: -12 + -2 = -14 -14 + 6x + 6y = 0 Solving -14 + 6x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 6x + 14 + 6y = 0 + 14 Reorder the terms: -14 + 14 + 6x + 6y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6x + 6y = 0 + 14 6x + 6y = 0 + 14 Combine like terms: 0 + 14 = 14 6x + 6y = 14 Add '-6y' to each side of the equation. 6x + 6y + -6y = 14 + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 14 + -6y 6x = 14 + -6y Divide each side by '6'. x = 2.333333333 + -1y Simplifying x = 2.333333333 + -1y
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