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Simplifying 11(x + 1) + -5 = 5(x + 18) Reorder the terms: 11(1 + x) + -5 = 5(x + 18) (1 * 11 + x * 11) + -5 = 5(x + 18) (11 + 11x) + -5 = 5(x + 18) Reorder the terms: 11 + -5 + 11x = 5(x + 18) Combine like terms: 11 + -5 = 6 6 + 11x = 5(x + 18) Reorder the terms: 6 + 11x = 5(18 + x) 6 + 11x = (18 * 5 + x * 5) 6 + 11x = (90 + 5x) Solving 6 + 11x = 90 + 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. 6 + 11x + -5x = 90 + 5x + -5x Combine like terms: 11x + -5x = 6x 6 + 6x = 90 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 6x = 90 + 0 6 + 6x = 90 Add '-6' to each side of the equation. 6 + -6 + 6x = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 90 + -6 6x = 90 + -6 Combine like terms: 90 + -6 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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