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Simplifying 6x + 3y = 10x + 15y Solving 6x + 3y = 10x + 15y 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. 6x + -10x + 3y = 10x + -10x + 15y Combine like terms: 6x + -10x = -4x -4x + 3y = 10x + -10x + 15y Combine like terms: 10x + -10x = 0 -4x + 3y = 0 + 15y -4x + 3y = 15y Add '-3y' to each side of the equation. -4x + 3y + -3y = 15y + -3y Combine like terms: 3y + -3y = 0 -4x + 0 = 15y + -3y -4x = 15y + -3y Combine like terms: 15y + -3y = 12y -4x = 12y Divide each side by '-4'. x = -3y Simplifying x = -3y
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