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Simplifying 55(x + 1) = 11(5x + -5) Reorder the terms: 55(1 + x) = 11(5x + -5) (1 * 55 + x * 55) = 11(5x + -5) (55 + 55x) = 11(5x + -5) Reorder the terms: 55 + 55x = 11(-5 + 5x) 55 + 55x = (-5 * 11 + 5x * 11) 55 + 55x = (-55 + 55x) Add '-55x' to each side of the equation. 55 + 55x + -55x = -55 + 55x + -55x Combine like terms: 55x + -55x = 0 55 + 0 = -55 + 55x + -55x 55 = -55 + 55x + -55x Combine like terms: 55x + -55x = 0 55 = -55 + 0 55 = -55 Solving 55 = -55 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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