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Simplifying 2x + -13 = 32 + -3x Reorder the terms: -13 + 2x = 32 + -3x Solving -13 + 2x = 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. -13 + 2x + 3x = 32 + -3x + 3x Combine like terms: 2x + 3x = 5x -13 + 5x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 5x = 32 + 0 -13 + 5x = 32 Add '13' to each side of the equation. -13 + 13 + 5x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 32 + 13 5x = 32 + 13 Combine like terms: 32 + 13 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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