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Simplifying 2x + -1(4 + -2y) = -12 2x + (4 * -1 + -2y * -1) = -12 2x + (-4 + 2y) = -12 Reorder the terms: -4 + 2x + 2y = -12 Solving -4 + 2x + 2y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 2y = -12 + 4 Reorder the terms: -4 + 4 + 2x + 2y = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 2y = -12 + 4 2x + 2y = -12 + 4 Combine like terms: -12 + 4 = -8 2x + 2y = -8 Add '-2y' to each side of the equation. 2x + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -8 + -2y 2x = -8 + -2y Divide each side by '2'. x = -4 + -1y Simplifying x = -4 + -1y
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