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Simplifying -2(2 + x) = 3(4 + -2y) (2 * -2 + x * -2) = 3(4 + -2y) (-4 + -2x) = 3(4 + -2y) -4 + -2x = (4 * 3 + -2y * 3) -4 + -2x = (12 + -6y) Solving -4 + -2x = 12 + -6y 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 + 4 + -2x = 12 + 4 + -6y Combine like terms: -4 + 4 = 0 0 + -2x = 12 + 4 + -6y -2x = 12 + 4 + -6y Combine like terms: 12 + 4 = 16 -2x = 16 + -6y Divide each side by '-2'. x = -8 + 3y Simplifying x = -8 + 3y
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