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Simplifying 3x + -1 = 47 + -5x Reorder the terms: -1 + 3x = 47 + -5x Solving -1 + 3x = 47 + -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. -1 + 3x + 5x = 47 + -5x + 5x Combine like terms: 3x + 5x = 8x -1 + 8x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 8x = 47 + 0 -1 + 8x = 47 Add '1' to each side of the equation. -1 + 1 + 8x = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 47 + 1 8x = 47 + 1 Combine like terms: 47 + 1 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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