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Simplifying -47 + 2x = 61 + -7x Solving -47 + 2x = 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 + 2x + 7x = 61 + -7x + 7x Combine like terms: 2x + 7x = 9x -47 + 9x = 61 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 9x = 61 + 0 -47 + 9x = 61 Add '47' to each side of the equation. -47 + 47 + 9x = 61 + 47 Combine like terms: -47 + 47 = 0 0 + 9x = 61 + 47 9x = 61 + 47 Combine like terms: 61 + 47 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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