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Simplifying 2y + 6 + -1y + 4x + 12 + -2x = 0 Reorder the terms: 6 + 12 + 4x + -2x + 2y + -1y = 0 Combine like terms: 6 + 12 = 18 18 + 4x + -2x + 2y + -1y = 0 Combine like terms: 4x + -2x = 2x 18 + 2x + 2y + -1y = 0 Combine like terms: 2y + -1y = 1y 18 + 2x + 1y = 0 Solving 18 + 2x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2x + -18 + 1y = 0 + -18 Reorder the terms: 18 + -18 + 2x + 1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x + 1y = 0 + -18 2x + 1y = 0 + -18 Combine like terms: 0 + -18 = -18 2x + 1y = -18 Add '-1y' to each side of the equation. 2x + 1y + -1y = -18 + -1y Combine like terms: 1y + -1y = 0 2x + 0 = -18 + -1y 2x = -18 + -1y Divide each side by '2'. x = -9 + -0.5y Simplifying x = -9 + -0.5y
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