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Simplifying 2x + 7 = 2(4y + 12) Reorder the terms: 7 + 2x = 2(4y + 12) Reorder the terms: 7 + 2x = 2(12 + 4y) 7 + 2x = (12 * 2 + 4y * 2) 7 + 2x = (24 + 8y) Solving 7 + 2x = 24 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 24 + -7 + 8y Combine like terms: 7 + -7 = 0 0 + 2x = 24 + -7 + 8y 2x = 24 + -7 + 8y Combine like terms: 24 + -7 = 17 2x = 17 + 8y Divide each side by '2'. x = 8.5 + 4y Simplifying x = 8.5 + 4y
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