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Simplifying 5x + -12x = 3x + 15 + 2x Combine like terms: 5x + -12x = -7x -7x = 3x + 15 + 2x Reorder the terms: -7x = 15 + 3x + 2x Combine like terms: 3x + 2x = 5x -7x = 15 + 5x Solving -7x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7x + -5x = 15 + 5x + -5x Combine like terms: -7x + -5x = -12x -12x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12x = 15 + 0 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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