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Simplifying 15x + 3y = 5x + -12y Solving 15x + 3y = 5x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15x + -5x + 3y = 5x + -5x + -12y Combine like terms: 15x + -5x = 10x 10x + 3y = 5x + -5x + -12y Combine like terms: 5x + -5x = 0 10x + 3y = 0 + -12y 10x + 3y = -12y Add '-3y' to each side of the equation. 10x + 3y + -3y = -12y + -3y Combine like terms: 3y + -3y = 0 10x + 0 = -12y + -3y 10x = -12y + -3y Combine like terms: -12y + -3y = -15y 10x = -15y Divide each side by '10'. x = -1.5y Simplifying x = -1.5y
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