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Simplifying 10y + 2x + 12 = 14x + -5y + 10 Reorder the terms: 12 + 2x + 10y = 14x + -5y + 10 Reorder the terms: 12 + 2x + 10y = 10 + 14x + -5y Solving 12 + 2x + 10y = 10 + 14x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 2x + -14x + 10y = 10 + 14x + -14x + -5y Combine like terms: 2x + -14x = -12x 12 + -12x + 10y = 10 + 14x + -14x + -5y Combine like terms: 14x + -14x = 0 12 + -12x + 10y = 10 + 0 + -5y 12 + -12x + 10y = 10 + -5y Add '-12' to each side of the equation. 12 + -12x + -12 + 10y = 10 + -12 + -5y Reorder the terms: 12 + -12 + -12x + 10y = 10 + -12 + -5y Combine like terms: 12 + -12 = 0 0 + -12x + 10y = 10 + -12 + -5y -12x + 10y = 10 + -12 + -5y Combine like terms: 10 + -12 = -2 -12x + 10y = -2 + -5y Add '-10y' to each side of the equation. -12x + 10y + -10y = -2 + -5y + -10y Combine like terms: 10y + -10y = 0 -12x + 0 = -2 + -5y + -10y -12x = -2 + -5y + -10y Combine like terms: -5y + -10y = -15y -12x = -2 + -15y Divide each side by '-12'. x = 0.1666666667 + 1.25y Simplifying x = 0.1666666667 + 1.25y
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