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Simplifying 3x + 2 + 5x + -5 = 45 Reorder the terms: 2 + -5 + 3x + 5x = 45 Combine like terms: 2 + -5 = -3 -3 + 3x + 5x = 45 Combine like terms: 3x + 5x = 8x -3 + 8x = 45 Solving -3 + 8x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 45 + 3 8x = 45 + 3 Combine like terms: 45 + 3 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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