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Simplifying 5x + 5 + 7 + 7x = 47 + 5x Reorder the terms: 5 + 7 + 5x + 7x = 47 + 5x Combine like terms: 5 + 7 = 12 12 + 5x + 7x = 47 + 5x Combine like terms: 5x + 7x = 12x 12 + 12x = 47 + 5x Solving 12 + 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. 12 + 12x + -5x = 47 + 5x + -5x Combine like terms: 12x + -5x = 7x 12 + 7x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 7x = 47 + 0 12 + 7x = 47 Add '-12' to each side of the equation. 12 + -12 + 7x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 47 + -12 7x = 47 + -12 Combine like terms: 47 + -12 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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