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Simplifying 5x + 5 + 7x = 47 + 5x Reorder the terms: 5 + 5x + 7x = 47 + 5x Combine like terms: 5x + 7x = 12x 5 + 12x = 47 + 5x Solving 5 + 12x = 47 + 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. 5 + 12x + -5x = 47 + 5x + -5x Combine like terms: 12x + -5x = 7x 5 + 7x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 7x = 47 + 0 5 + 7x = 47 Add '-5' to each side of the equation. 5 + -5 + 7x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 47 + -5 7x = 47 + -5 Combine like terms: 47 + -5 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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