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Simplifying 5x + -47 = -7x + 1 Reorder the terms: -47 + 5x = -7x + 1 Reorder the terms: -47 + 5x = 1 + -7x Solving -47 + 5x = 1 + -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 + 5x + 7x = 1 + -7x + 7x Combine like terms: 5x + 7x = 12x -47 + 12x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 12x = 1 + 0 -47 + 12x = 1 Add '47' to each side of the equation. -47 + 47 + 12x = 1 + 47 Combine like terms: -47 + 47 = 0 0 + 12x = 1 + 47 12x = 1 + 47 Combine like terms: 1 + 47 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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