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Simplifying 2x + 5y + 6 = 10y + -3x + -14 Reorder the terms: 6 + 2x + 5y = 10y + -3x + -14 Reorder the terms: 6 + 2x + 5y = -14 + -3x + 10y Solving 6 + 2x + 5y = -14 + -3x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 2x + 3x + 5y = -14 + -3x + 3x + 10y Combine like terms: 2x + 3x = 5x 6 + 5x + 5y = -14 + -3x + 3x + 10y Combine like terms: -3x + 3x = 0 6 + 5x + 5y = -14 + 0 + 10y 6 + 5x + 5y = -14 + 10y Add '-6' to each side of the equation. 6 + 5x + -6 + 5y = -14 + -6 + 10y Reorder the terms: 6 + -6 + 5x + 5y = -14 + -6 + 10y Combine like terms: 6 + -6 = 0 0 + 5x + 5y = -14 + -6 + 10y 5x + 5y = -14 + -6 + 10y Combine like terms: -14 + -6 = -20 5x + 5y = -20 + 10y Add '-5y' to each side of the equation. 5x + 5y + -5y = -20 + 10y + -5y Combine like terms: 5y + -5y = 0 5x + 0 = -20 + 10y + -5y 5x = -20 + 10y + -5y Combine like terms: 10y + -5y = 5y 5x = -20 + 5y Divide each side by '5'. x = -4 + y Simplifying x = -4 + y
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