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Simplifying 7x + 17 = 13x + -13 Reorder the terms: 17 + 7x = 13x + -13 Reorder the terms: 17 + 7x = -13 + 13x Solving 17 + 7x = -13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 7x + -13x = -13 + 13x + -13x Combine like terms: 7x + -13x = -6x 17 + -6x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + -6x = -13 + 0 17 + -6x = -13 Add '-17' to each side of the equation. 17 + -17 + -6x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -13 + -17 -6x = -13 + -17 Combine like terms: -13 + -17 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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