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