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