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Simplifying -47 + 7x = 2x + -32 Reorder the terms: -47 + 7x = -32 + 2x Solving -47 + 7x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -47 + 7x + -2x = -32 + 2x + -2x Combine like terms: 7x + -2x = 5x -47 + 5x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -47 + 5x = -32 + 0 -47 + 5x = -32 Add '47' to each side of the equation. -47 + 47 + 5x = -32 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = -32 + 47 5x = -32 + 47 Combine like terms: -32 + 47 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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