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Simplifying 5(y + -3x) = -12(x + 2y) Reorder the terms: 5(-3x + y) = -12(x + 2y) (-3x * 5 + y * 5) = -12(x + 2y) (-15x + 5y) = -12(x + 2y) -15x + 5y = (x * -12 + 2y * -12) -15x + 5y = (-12x + -24y) Solving -15x + 5y = -12x + -24y 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. -15x + 12x + 5y = -12x + 12x + -24y Combine like terms: -15x + 12x = -3x -3x + 5y = -12x + 12x + -24y Combine like terms: -12x + 12x = 0 -3x + 5y = 0 + -24y -3x + 5y = -24y Add '-5y' to each side of the equation. -3x + 5y + -5y = -24y + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = -24y + -5y -3x = -24y + -5y Combine like terms: -24y + -5y = -29y -3x = -29y Divide each side by '-3'. x = 9.666666667y Simplifying x = 9.666666667y
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