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Simplifying 10x + 6y = -14x + 16y Solving 10x + 6y = -14x + 16y 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. 10x + 14x + 6y = -14x + 14x + 16y Combine like terms: 10x + 14x = 24x 24x + 6y = -14x + 14x + 16y Combine like terms: -14x + 14x = 0 24x + 6y = 0 + 16y 24x + 6y = 16y Add '-6y' to each side of the equation. 24x + 6y + -6y = 16y + -6y Combine like terms: 6y + -6y = 0 24x + 0 = 16y + -6y 24x = 16y + -6y Combine like terms: 16y + -6y = 10y 24x = 10y Divide each side by '24'. x = 0.4166666667y Simplifying x = 0.4166666667y
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