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Simplifying 2y + 2(x + 12) = 7y Reorder the terms: 2y + 2(12 + x) = 7y 2y + (12 * 2 + x * 2) = 7y 2y + (24 + 2x) = 7y Reorder the terms: 24 + 2x + 2y = 7y Solving 24 + 2x + 2y = 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 2x + -24 + 2y = -24 + 7y Reorder the terms: 24 + -24 + 2x + 2y = -24 + 7y Combine like terms: 24 + -24 = 0 0 + 2x + 2y = -24 + 7y 2x + 2y = -24 + 7y Add '-2y' to each side of the equation. 2x + 2y + -2y = -24 + 7y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -24 + 7y + -2y 2x = -24 + 7y + -2y Combine like terms: 7y + -2y = 5y 2x = -24 + 5y Divide each side by '2'. x = -12 + 2.5y Simplifying x = -12 + 2.5y
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