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Simplifying 3(x + -1) + -2(y + 1) = x + -1y Reorder the terms: 3(-1 + x) + -2(y + 1) = x + -1y (-1 * 3 + x * 3) + -2(y + 1) = x + -1y (-3 + 3x) + -2(y + 1) = x + -1y Reorder the terms: -3 + 3x + -2(1 + y) = x + -1y -3 + 3x + (1 * -2 + y * -2) = x + -1y -3 + 3x + (-2 + -2y) = x + -1y Reorder the terms: -3 + -2 + 3x + -2y = x + -1y Combine like terms: -3 + -2 = -5 -5 + 3x + -2y = x + -1y Solving -5 + 3x + -2y = x + -1y 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. -5 + 3x + -1x + -2y = x + -1x + -1y Combine like terms: 3x + -1x = 2x -5 + 2x + -2y = x + -1x + -1y Combine like terms: x + -1x = 0 -5 + 2x + -2y = 0 + -1y -5 + 2x + -2y = -1y Add '5' to each side of the equation. -5 + 2x + 5 + -2y = 5 + -1y Reorder the terms: -5 + 5 + 2x + -2y = 5 + -1y Combine like terms: -5 + 5 = 0 0 + 2x + -2y = 5 + -1y 2x + -2y = 5 + -1y Add '2y' to each side of the equation. 2x + -2y + 2y = 5 + -1y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 5 + -1y + 2y 2x = 5 + -1y + 2y Combine like terms: -1y + 2y = 1y 2x = 5 + 1y Divide each side by '2'. x = 2.5 + 0.5y Simplifying x = 2.5 + 0.5y
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