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Simplifying 5x + 6(x + 2) = 78 Reorder the terms: 5x + 6(2 + x) = 78 5x + (2 * 6 + x * 6) = 78 5x + (12 + 6x) = 78 Reorder the terms: 12 + 5x + 6x = 78 Combine like terms: 5x + 6x = 11x 12 + 11x = 78 Solving 12 + 11x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 78 + -12 11x = 78 + -12 Combine like terms: 78 + -12 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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