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Simplifying 7x + -47 = 5x + -45 Reorder the terms: -47 + 7x = 5x + -45 Reorder the terms: -47 + 7x = -45 + 5x Solving -47 + 7x = -45 + 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 + 7x + -5x = -45 + 5x + -5x Combine like terms: 7x + -5x = 2x -47 + 2x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 2x = -45 + 0 -47 + 2x = -45 Add '47' to each side of the equation. -47 + 47 + 2x = -45 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = -45 + 47 2x = -45 + 47 Combine like terms: -45 + 47 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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