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Simplifying 67 = 7x + 4x + 1 Reorder the terms: 67 = 1 + 7x + 4x Combine like terms: 7x + 4x = 11x 67 = 1 + 11x Solving 67 = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 67 + -11x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 67 + -11x = 1 + 0 67 + -11x = 1 Add '-67' to each side of the equation. 67 + -67 + -11x = 1 + -67 Combine like terms: 67 + -67 = 0 0 + -11x = 1 + -67 -11x = 1 + -67 Combine like terms: 1 + -67 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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