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Simplifying 11x + 1 = 5(x + 5) Reorder the terms: 1 + 11x = 5(x + 5) Reorder the terms: 1 + 11x = 5(5 + x) 1 + 11x = (5 * 5 + x * 5) 1 + 11x = (25 + 5x) Solving 1 + 11x = 25 + 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 + 11x + -5x = 25 + 5x + -5x Combine like terms: 11x + -5x = 6x 1 + 6x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 6x = 25 + 0 1 + 6x = 25 Add '-1' to each side of the equation. 1 + -1 + 6x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 25 + -1 6x = 25 + -1 Combine like terms: 25 + -1 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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