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Simplifying 2x + 4 + 3y + -2 = 12 Reorder the terms: 4 + -2 + 2x + 3y = 12 Combine like terms: 4 + -2 = 2 2 + 2x + 3y = 12 Solving 2 + 2x + 3y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + 3y = 12 + -2 Reorder the terms: 2 + -2 + 2x + 3y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 3y = 12 + -2 2x + 3y = 12 + -2 Combine like terms: 12 + -2 = 10 2x + 3y = 10 Add '-3y' to each side of the equation. 2x + 3y + -3y = 10 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 10 + -3y 2x = 10 + -3y Divide each side by '2'. x = 5 + -1.5y Simplifying x = 5 + -1.5y
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