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Simplifying 3x + 6y = 15x + 12y Solving 3x + 6y = 15x + 12y 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 + 6y = 15x + -15x + 12y Combine like terms: 3x + -15x = -12x -12x + 6y = 15x + -15x + 12y Combine like terms: 15x + -15x = 0 -12x + 6y = 0 + 12y -12x + 6y = 12y Add '-6y' to each side of the equation. -12x + 6y + -6y = 12y + -6y Combine like terms: 6y + -6y = 0 -12x + 0 = 12y + -6y -12x = 12y + -6y Combine like terms: 12y + -6y = 6y -12x = 6y Divide each side by '-12'. x = -0.5y Simplifying x = -0.5y
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