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Simplifying 12x + 4y + 12x + 6 + -2y = 10 Reorder the terms: 6 + 12x + 12x + 4y + -2y = 10 Combine like terms: 12x + 12x = 24x 6 + 24x + 4y + -2y = 10 Combine like terms: 4y + -2y = 2y 6 + 24x + 2y = 10 Solving 6 + 24x + 2y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 24x + -6 + 2y = 10 + -6 Reorder the terms: 6 + -6 + 24x + 2y = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 24x + 2y = 10 + -6 24x + 2y = 10 + -6 Combine like terms: 10 + -6 = 4 24x + 2y = 4 Add '-2y' to each side of the equation. 24x + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 24x + 0 = 4 + -2y 24x = 4 + -2y Divide each side by '24'. x = 0.1666666667 + -0.08333333333y Simplifying x = 0.1666666667 + -0.08333333333y
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