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Simplifying -5 + 2x = -3x + -45 Reorder the terms: -5 + 2x = -45 + -3x Solving -5 + 2x = -45 + -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. -5 + 2x + 3x = -45 + -3x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = -45 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 5x = -45 + 0 -5 + 5x = -45 Add '5' to each side of the equation. -5 + 5 + 5x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -45 + 5 5x = -45 + 5 Combine like terms: -45 + 5 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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