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Simplifying 47x + -84 = 2x + 6 Reorder the terms: -84 + 47x = 2x + 6 Reorder the terms: -84 + 47x = 6 + 2x Solving -84 + 47x = 6 + 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. -84 + 47x + -2x = 6 + 2x + -2x Combine like terms: 47x + -2x = 45x -84 + 45x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -84 + 45x = 6 + 0 -84 + 45x = 6 Add '84' to each side of the equation. -84 + 84 + 45x = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 45x = 6 + 84 45x = 6 + 84 Combine like terms: 6 + 84 = 90 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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