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Simplifying 9x + 47 = 7x + 61 Reorder the terms: 47 + 9x = 7x + 61 Reorder the terms: 47 + 9x = 61 + 7x Solving 47 + 9x = 61 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + 9x + -7x = 61 + 7x + -7x Combine like terms: 9x + -7x = 2x 47 + 2x = 61 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + 2x = 61 + 0 47 + 2x = 61 Add '-47' to each side of the equation. 47 + -47 + 2x = 61 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 61 + -47 2x = 61 + -47 Combine like terms: 61 + -47 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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