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Simplifying 55 + 11x = 11(4x + -1) Reorder the terms: 55 + 11x = 11(-1 + 4x) 55 + 11x = (-1 * 11 + 4x * 11) 55 + 11x = (-11 + 44x) Solving 55 + 11x = -11 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 55 + 11x + -44x = -11 + 44x + -44x Combine like terms: 11x + -44x = -33x 55 + -33x = -11 + 44x + -44x Combine like terms: 44x + -44x = 0 55 + -33x = -11 + 0 55 + -33x = -11 Add '-55' to each side of the equation. 55 + -55 + -33x = -11 + -55 Combine like terms: 55 + -55 = 0 0 + -33x = -11 + -55 -33x = -11 + -55 Combine like terms: -11 + -55 = -66 -33x = -66 Divide each side by '-33'. x = 2 Simplifying x = 2
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