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Simplifying -2x + -13 = 3x + 12 Reorder the terms: -13 + -2x = 3x + 12 Reorder the terms: -13 + -2x = 12 + 3x Solving -13 + -2x = 12 + 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 = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -13 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -5x = 12 + 0 -13 + -5x = 12 Add '13' to each side of the equation. -13 + 13 + -5x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 12 + 13 -5x = 12 + 13 Combine like terms: 12 + 13 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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