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Simplifying 3x + 21 + 2x + -1 = 47 + -3x + 37 Reorder the terms: 21 + -1 + 3x + 2x = 47 + -3x + 37 Combine like terms: 21 + -1 = 20 20 + 3x + 2x = 47 + -3x + 37 Combine like terms: 3x + 2x = 5x 20 + 5x = 47 + -3x + 37 Reorder the terms: 20 + 5x = 47 + 37 + -3x Combine like terms: 47 + 37 = 84 20 + 5x = 84 + -3x Solving 20 + 5x = 84 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 5x + 3x = 84 + -3x + 3x Combine like terms: 5x + 3x = 8x 20 + 8x = 84 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 8x = 84 + 0 20 + 8x = 84 Add '-20' to each side of the equation. 20 + -20 + 8x = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 84 + -20 8x = 84 + -20 Combine like terms: 84 + -20 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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