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Simplifying -3x + 5x + -13 = 2 + 7x Reorder the terms: -13 + -3x + 5x = 2 + 7x Combine like terms: -3x + 5x = 2x -13 + 2x = 2 + 7x Solving -13 + 2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 2x + -7x = 2 + 7x + -7x Combine like terms: 2x + -7x = -5x -13 + -5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -5x = 2 + 0 -13 + -5x = 2 Add '13' to each side of the equation. -13 + 13 + -5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 2 + 13 -5x = 2 + 13 Combine like terms: 2 + 13 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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