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Simplifying 5(x + 6) + (2x + 6) = 50 Reorder the terms: 5(6 + x) + (2x + 6) = 50 (6 * 5 + x * 5) + (2x + 6) = 50 (30 + 5x) + (2x + 6) = 50 Reorder the terms: 30 + 5x + (6 + 2x) = 50 Remove parenthesis around (6 + 2x) 30 + 5x + 6 + 2x = 50 Reorder the terms: 30 + 6 + 5x + 2x = 50 Combine like terms: 30 + 6 = 36 36 + 5x + 2x = 50 Combine like terms: 5x + 2x = 7x 36 + 7x = 50 Solving 36 + 7x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7x = 50 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 50 + -36 7x = 50 + -36 Combine like terms: 50 + -36 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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