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Simplifying 17x + 9 = 13x + 29 Reorder the terms: 9 + 17x = 13x + 29 Reorder the terms: 9 + 17x = 29 + 13x Solving 9 + 17x = 29 + 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. 9 + 17x + -13x = 29 + 13x + -13x Combine like terms: 17x + -13x = 4x 9 + 4x = 29 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + 4x = 29 + 0 9 + 4x = 29 Add '-9' to each side of the equation. 9 + -9 + 4x = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 29 + -9 4x = 29 + -9 Combine like terms: 29 + -9 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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