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Simplifying 3x + 2y = 15x + -45y Solving 3x + 2y = 15x + -45y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 3x + -15x + 2y = 15x + -15x + -45y Combine like terms: 3x + -15x = -12x -12x + 2y = 15x + -15x + -45y Combine like terms: 15x + -15x = 0 -12x + 2y = 0 + -45y -12x + 2y = -45y Add '-2y' to each side of the equation. -12x + 2y + -2y = -45y + -2y Combine like terms: 2y + -2y = 0 -12x + 0 = -45y + -2y -12x = -45y + -2y Combine like terms: -45y + -2y = -47y -12x = -47y Divide each side by '-12'. x = 3.916666667y Simplifying x = 3.916666667y
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