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Simplifying -47 + 2x = 44 + -5x Solving -47 + 2x = 44 + -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. -47 + 2x + 5x = 44 + -5x + 5x Combine like terms: 2x + 5x = 7x -47 + 7x = 44 + -5x + 5x Combine like terms: -5x + 5x = 0 -47 + 7x = 44 + 0 -47 + 7x = 44 Add '47' to each side of the equation. -47 + 47 + 7x = 44 + 47 Combine like terms: -47 + 47 = 0 0 + 7x = 44 + 47 7x = 44 + 47 Combine like terms: 44 + 47 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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