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Simplifying (4x + -2) + -1(2y + 6) = 0 Reorder the terms: (-2 + 4x) + -1(2y + 6) = 0 Remove parenthesis around (-2 + 4x) -2 + 4x + -1(2y + 6) = 0 Reorder the terms: -2 + 4x + -1(6 + 2y) = 0 -2 + 4x + (6 * -1 + 2y * -1) = 0 -2 + 4x + (-6 + -2y) = 0 Reorder the terms: -2 + -6 + 4x + -2y = 0 Combine like terms: -2 + -6 = -8 -8 + 4x + -2y = 0 Solving -8 + 4x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + 8 + -2y = 0 + 8 Reorder the terms: -8 + 8 + 4x + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + -2y = 0 + 8 4x + -2y = 0 + 8 Combine like terms: 0 + 8 = 8 4x + -2y = 8 Add '2y' to each side of the equation. 4x + -2y + 2y = 8 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = 8 + 2y 4x = 8 + 2y Divide each side by '4'. x = 2 + 0.5y Simplifying x = 2 + 0.5y
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