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Simplifying 3x + -6 = 47 + -5x Reorder the terms: -6 + 3x = 47 + -5x Solving -6 + 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. -6 + 3x + 5x = 47 + -5x + 5x Combine like terms: 3x + 5x = 8x -6 + 8x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 8x = 47 + 0 -6 + 8x = 47 Add '6' to each side of the equation. -6 + 6 + 8x = 47 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 47 + 6 8x = 47 + 6 Combine like terms: 47 + 6 = 53 8x = 53 Divide each side by '8'. x = 6.625 Simplifying x = 6.625
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