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Simplifying -45 + 2x = -3x + 40 Reorder the terms: -45 + 2x = 40 + -3x Solving -45 + 2x = 40 + -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. -45 + 2x + 3x = 40 + -3x + 3x Combine like terms: 2x + 3x = 5x -45 + 5x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + 5x = 40 + 0 -45 + 5x = 40 Add '45' to each side of the equation. -45 + 45 + 5x = 40 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 40 + 45 5x = 40 + 45 Combine like terms: 40 + 45 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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