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Simplifying -3x + 13 = -17 + 2x Reorder the terms: 13 + -3x = -17 + 2x Solving 13 + -3x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + -3x + -2x = -17 + 2x + -2x Combine like terms: -3x + -2x = -5x 13 + -5x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -5x = -17 + 0 13 + -5x = -17 Add '-13' to each side of the equation. 13 + -13 + -5x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -17 + -13 -5x = -17 + -13 Combine like terms: -17 + -13 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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