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Simplifying -1(-3x + y) = 4(2y + 3x) (-3x * -1 + y * -1) = 4(2y + 3x) (3x + -1y) = 4(2y + 3x) Reorder the terms: 3x + -1y = 4(3x + 2y) 3x + -1y = (3x * 4 + 2y * 4) 3x + -1y = (12x + 8y) Solving 3x + -1y = 12x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3x + -12x + -1y = 12x + -12x + 8y Combine like terms: 3x + -12x = -9x -9x + -1y = 12x + -12x + 8y Combine like terms: 12x + -12x = 0 -9x + -1y = 0 + 8y -9x + -1y = 8y Add 'y' to each side of the equation. -9x + -1y + y = 8y + y Combine like terms: -1y + y = 0 -9x + 0 = 8y + y -9x = 8y + y Combine like terms: 8y + y = 9y -9x = 9y Divide each side by '-9'. x = -1y Simplifying x = -1y
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