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Simplifying 13x + 6 = 9x + 74 Reorder the terms: 6 + 13x = 9x + 74 Reorder the terms: 6 + 13x = 74 + 9x Solving 6 + 13x = 74 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 13x + -9x = 74 + 9x + -9x Combine like terms: 13x + -9x = 4x 6 + 4x = 74 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 4x = 74 + 0 6 + 4x = 74 Add '-6' to each side of the equation. 6 + -6 + 4x = 74 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 74 + -6 4x = 74 + -6 Combine like terms: 74 + -6 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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