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Simplifying 5(x + 11) = 11x + -17 Reorder the terms: 5(11 + x) = 11x + -17 (11 * 5 + x * 5) = 11x + -17 (55 + 5x) = 11x + -17 Reorder the terms: 55 + 5x = -17 + 11x Solving 55 + 5x = -17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 55 + 5x + -11x = -17 + 11x + -11x Combine like terms: 5x + -11x = -6x 55 + -6x = -17 + 11x + -11x Combine like terms: 11x + -11x = 0 55 + -6x = -17 + 0 55 + -6x = -17 Add '-55' to each side of the equation. 55 + -55 + -6x = -17 + -55 Combine like terms: 55 + -55 = 0 0 + -6x = -17 + -55 -6x = -17 + -55 Combine like terms: -17 + -55 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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