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Simplifying 3x + 17 + 2x + -1 = 48 + -3x + 32 Reorder the terms: 17 + -1 + 3x + 2x = 48 + -3x + 32 Combine like terms: 17 + -1 = 16 16 + 3x + 2x = 48 + -3x + 32 Combine like terms: 3x + 2x = 5x 16 + 5x = 48 + -3x + 32 Reorder the terms: 16 + 5x = 48 + 32 + -3x Combine like terms: 48 + 32 = 80 16 + 5x = 80 + -3x Solving 16 + 5x = 80 + -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. 16 + 5x + 3x = 80 + -3x + 3x Combine like terms: 5x + 3x = 8x 16 + 8x = 80 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 8x = 80 + 0 16 + 8x = 80 Add '-16' to each side of the equation. 16 + -16 + 8x = 80 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 80 + -16 8x = 80 + -16 Combine like terms: 80 + -16 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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