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Simplifying (2x + 2y) + -4(x + -1y) = 8 Remove parenthesis around (2x + 2y) 2x + 2y + -4(x + -1y) = 8 2x + 2y + (x * -4 + -1y * -4) = 8 2x + 2y + (-4x + 4y) = 8 Reorder the terms: 2x + -4x + 2y + 4y = 8 Combine like terms: 2x + -4x = -2x -2x + 2y + 4y = 8 Combine like terms: 2y + 4y = 6y -2x + 6y = 8 Solving -2x + 6y = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -2x + 6y + -6y = 8 + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = 8 + -6y -2x = 8 + -6y Divide each side by '-2'. x = -4 + 3y Simplifying x = -4 + 3y
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