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Simplifying 3x + y = 2(x + y + 3) Reorder the terms: 3x + y = 2(3 + x + y) 3x + y = (3 * 2 + x * 2 + y * 2) 3x + y = (6 + 2x + 2y) Solving 3x + y = 6 + 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. 3x + -2x + y = 6 + 2x + -2x + 2y Combine like terms: 3x + -2x = 1x 1x + y = 6 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 1x + y = 6 + 0 + 2y 1x + y = 6 + 2y Add '-1y' to each side of the equation. 1x + y + -1y = 6 + 2y + -1y Combine like terms: y + -1y = 0 1x + 0 = 6 + 2y + -1y 1x = 6 + 2y + -1y Combine like terms: 2y + -1y = 1y 1x = 6 + 1y Divide each side by '1'. x = 6 + 1y Simplifying x = 6 + 1y
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