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Simplifying 3x + 2x = -14 + -3x + 46 Combine like terms: 3x + 2x = 5x 5x = -14 + -3x + 46 Reorder the terms: 5x = -14 + 46 + -3x Combine like terms: -14 + 46 = 32 5x = 32 + -3x Solving 5x = 32 + -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. 5x + 3x = 32 + -3x + 3x Combine like terms: 5x + 3x = 8x 8x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 8x = 32 + 0 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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