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Simplifying 2(3x + -1) + -1(y + 4) = -12 Reorder the terms: 2(-1 + 3x) + -1(y + 4) = -12 (-1 * 2 + 3x * 2) + -1(y + 4) = -12 (-2 + 6x) + -1(y + 4) = -12 Reorder the terms: -2 + 6x + -1(4 + y) = -12 -2 + 6x + (4 * -1 + y * -1) = -12 -2 + 6x + (-4 + -1y) = -12 Reorder the terms: -2 + -4 + 6x + -1y = -12 Combine like terms: -2 + -4 = -6 -6 + 6x + -1y = -12 Solving -6 + 6x + -1y = -12 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 + 6x + 6 + -1y = -12 + 6 Reorder the terms: -6 + 6 + 6x + -1y = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x + -1y = -12 + 6 6x + -1y = -12 + 6 Combine like terms: -12 + 6 = -6 6x + -1y = -6 Add 'y' to each side of the equation. 6x + -1y + y = -6 + y Combine like terms: -1y + y = 0 6x + 0 = -6 + y 6x = -6 + y Divide each side by '6'. x = -1 + 0.1666666667y Simplifying x = -1 + 0.1666666667y
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