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Simplifying x + -1(y + 2) = 3(x + -2y + 1) Reorder the terms: x + -1(2 + y) = 3(x + -2y + 1) x + (2 * -1 + y * -1) = 3(x + -2y + 1) x + (-2 + -1y) = 3(x + -2y + 1) Reorder the terms: -2 + x + -1y = 3(x + -2y + 1) Reorder the terms: -2 + x + -1y = 3(1 + x + -2y) -2 + x + -1y = (1 * 3 + x * 3 + -2y * 3) -2 + x + -1y = (3 + 3x + -6y) Solving -2 + x + -1y = 3 + 3x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + x + -3x + -1y = 3 + 3x + -3x + -6y Combine like terms: x + -3x = -2x -2 + -2x + -1y = 3 + 3x + -3x + -6y Combine like terms: 3x + -3x = 0 -2 + -2x + -1y = 3 + 0 + -6y -2 + -2x + -1y = 3 + -6y Add '2' to each side of the equation. -2 + -2x + 2 + -1y = 3 + 2 + -6y Reorder the terms: -2 + 2 + -2x + -1y = 3 + 2 + -6y Combine like terms: -2 + 2 = 0 0 + -2x + -1y = 3 + 2 + -6y -2x + -1y = 3 + 2 + -6y Combine like terms: 3 + 2 = 5 -2x + -1y = 5 + -6y Add 'y' to each side of the equation. -2x + -1y + y = 5 + -6y + y Combine like terms: -1y + y = 0 -2x + 0 = 5 + -6y + y -2x = 5 + -6y + y Combine like terms: -6y + y = -5y -2x = 5 + -5y Divide each side by '-2'. x = -2.5 + 2.5y Simplifying x = -2.5 + 2.5y
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