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Simplifying 2x + 4(x + 6) = 78 Reorder the terms: 2x + 4(6 + x) = 78 2x + (6 * 4 + x * 4) = 78 2x + (24 + 4x) = 78 Reorder the terms: 24 + 2x + 4x = 78 Combine like terms: 2x + 4x = 6x 24 + 6x = 78 Solving 24 + 6x = 78 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 + -24 + 6x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 78 + -24 6x = 78 + -24 Combine like terms: 78 + -24 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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