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Simplifying 7x + 20 + 9x = 47 + 5x + 61 Reorder the terms: 20 + 7x + 9x = 47 + 5x + 61 Combine like terms: 7x + 9x = 16x 20 + 16x = 47 + 5x + 61 Reorder the terms: 20 + 16x = 47 + 61 + 5x Combine like terms: 47 + 61 = 108 20 + 16x = 108 + 5x Solving 20 + 16x = 108 + 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. 20 + 16x + -5x = 108 + 5x + -5x Combine like terms: 16x + -5x = 11x 20 + 11x = 108 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 11x = 108 + 0 20 + 11x = 108 Add '-20' to each side of the equation. 20 + -20 + 11x = 108 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 108 + -20 11x = 108 + -20 Combine like terms: 108 + -20 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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