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Simplifying 3y + 4 + -2x = -5(y + -2x) Reorder the terms: 4 + -2x + 3y = -5(y + -2x) Reorder the terms: 4 + -2x + 3y = -5(-2x + y) 4 + -2x + 3y = (-2x * -5 + y * -5) 4 + -2x + 3y = (10x + -5y) Solving 4 + -2x + 3y = 10x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -2x + -10x + 3y = 10x + -10x + -5y Combine like terms: -2x + -10x = -12x 4 + -12x + 3y = 10x + -10x + -5y Combine like terms: 10x + -10x = 0 4 + -12x + 3y = 0 + -5y 4 + -12x + 3y = -5y Add '-4' to each side of the equation. 4 + -12x + -4 + 3y = -4 + -5y Reorder the terms: 4 + -4 + -12x + 3y = -4 + -5y Combine like terms: 4 + -4 = 0 0 + -12x + 3y = -4 + -5y -12x + 3y = -4 + -5y Add '-3y' to each side of the equation. -12x + 3y + -3y = -4 + -5y + -3y Combine like terms: 3y + -3y = 0 -12x + 0 = -4 + -5y + -3y -12x = -4 + -5y + -3y Combine like terms: -5y + -3y = -8y -12x = -4 + -8y Divide each side by '-12'. x = 0.3333333333 + 0.6666666667y Simplifying x = 0.3333333333 + 0.6666666667y
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