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Simplifying 6x + 1 = 45 + -5x Reorder the terms: 1 + 6x = 45 + -5x Solving 1 + 6x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 6x + 5x = 45 + -5x + 5x Combine like terms: 6x + 5x = 11x 1 + 11x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 11x = 45 + 0 1 + 11x = 45 Add '-1' to each side of the equation. 1 + -1 + 11x = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 45 + -1 11x = 45 + -1 Combine like terms: 45 + -1 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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