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Simplifying 4x + y + 6 = 2x + 2y + 12 Reorder the terms: 6 + 4x + y = 2x + 2y + 12 Reorder the terms: 6 + 4x + y = 12 + 2x + 2y Solving 6 + 4x + y = 12 + 2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 4x + -2x + y = 12 + 2x + -2x + 2y Combine like terms: 4x + -2x = 2x 6 + 2x + y = 12 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 6 + 2x + y = 12 + 0 + 2y 6 + 2x + y = 12 + 2y Add '-6' to each side of the equation. 6 + 2x + -6 + y = 12 + -6 + 2y Reorder the terms: 6 + -6 + 2x + y = 12 + -6 + 2y Combine like terms: 6 + -6 = 0 0 + 2x + y = 12 + -6 + 2y 2x + y = 12 + -6 + 2y Combine like terms: 12 + -6 = 6 2x + y = 6 + 2y Add '-1y' to each side of the equation. 2x + y + -1y = 6 + 2y + -1y Combine like terms: y + -1y = 0 2x + 0 = 6 + 2y + -1y 2x = 6 + 2y + -1y Combine like terms: 2y + -1y = 1y 2x = 6 + 1y Divide each side by '2'. x = 3 + 0.5y Simplifying x = 3 + 0.5y
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