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Simplifying 9x + 17 = 13x + 5 Reorder the terms: 17 + 9x = 13x + 5 Reorder the terms: 17 + 9x = 5 + 13x Solving 17 + 9x = 5 + 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 + 9x + -13x = 5 + 13x + -13x Combine like terms: 9x + -13x = -4x 17 + -4x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + -4x = 5 + 0 17 + -4x = 5 Add '-17' to each side of the equation. 17 + -17 + -4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 5 + -17 -4x = 5 + -17 Combine like terms: 5 + -17 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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