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Simplifying -13x + 20 = 17x + -100 Reorder the terms: 20 + -13x = 17x + -100 Reorder the terms: 20 + -13x = -100 + 17x Solving 20 + -13x = -100 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 20 + -13x + -17x = -100 + 17x + -17x Combine like terms: -13x + -17x = -30x 20 + -30x = -100 + 17x + -17x Combine like terms: 17x + -17x = 0 20 + -30x = -100 + 0 20 + -30x = -100 Add '-20' to each side of the equation. 20 + -20 + -30x = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -30x = -100 + -20 -30x = -100 + -20 Combine like terms: -100 + -20 = -120 -30x = -120 Divide each side by '-30'. x = 4 Simplifying x = 4
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