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Simplifying 12x + 10y + 5 = 6x + 15y Reorder the terms: 5 + 12x + 10y = 6x + 15y Solving 5 + 12x + 10y = 6x + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 12x + -6x + 10y = 6x + -6x + 15y Combine like terms: 12x + -6x = 6x 5 + 6x + 10y = 6x + -6x + 15y Combine like terms: 6x + -6x = 0 5 + 6x + 10y = 0 + 15y 5 + 6x + 10y = 15y Add '-5' to each side of the equation. 5 + 6x + -5 + 10y = -5 + 15y Reorder the terms: 5 + -5 + 6x + 10y = -5 + 15y Combine like terms: 5 + -5 = 0 0 + 6x + 10y = -5 + 15y 6x + 10y = -5 + 15y Add '-10y' to each side of the equation. 6x + 10y + -10y = -5 + 15y + -10y Combine like terms: 10y + -10y = 0 6x + 0 = -5 + 15y + -10y 6x = -5 + 15y + -10y Combine like terms: 15y + -10y = 5y 6x = -5 + 5y Divide each side by '6'. x = -0.8333333333 + 0.8333333333y Simplifying x = -0.8333333333 + 0.8333333333y
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