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