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Simplifying 5x + 1 = 56 + -6x Reorder the terms: 1 + 5x = 56 + -6x Solving 1 + 5x = 56 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 5x + 6x = 56 + -6x + 6x Combine like terms: 5x + 6x = 11x 1 + 11x = 56 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 11x = 56 + 0 1 + 11x = 56 Add '-1' to each side of the equation. 1 + -1 + 11x = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 56 + -1 11x = 56 + -1 Combine like terms: 56 + -1 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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