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Simplifying 11x + 27 = (11x + 27) * 5 + 111 Reorder the terms: 27 + 11x = (11x + 27) * 5 + 111 Reorder the terms: 27 + 11x = (27 + 11x) * 5 + 111 Reorder the terms for easier multiplication: 27 + 11x = 5(27 + 11x) + 111 27 + 11x = (27 * 5 + 11x * 5) + 111 27 + 11x = (135 + 55x) + 111 Reorder the terms: 27 + 11x = 135 + 111 + 55x Combine like terms: 135 + 111 = 246 27 + 11x = 246 + 55x Solving 27 + 11x = 246 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 27 + 11x + -55x = 246 + 55x + -55x Combine like terms: 11x + -55x = -44x 27 + -44x = 246 + 55x + -55x Combine like terms: 55x + -55x = 0 27 + -44x = 246 + 0 27 + -44x = 246 Add '-27' to each side of the equation. 27 + -27 + -44x = 246 + -27 Combine like terms: 27 + -27 = 0 0 + -44x = 246 + -27 -44x = 246 + -27 Combine like terms: 246 + -27 = 219 -44x = 219 Divide each side by '-44'. x = -4.977272727 Simplifying x = -4.977272727
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