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Simplifying 11(8 + 8x) = 5(x + 1) (8 * 11 + 8x * 11) = 5(x + 1) (88 + 88x) = 5(x + 1) Reorder the terms: 88 + 88x = 5(1 + x) 88 + 88x = (1 * 5 + x * 5) 88 + 88x = (5 + 5x) Solving 88 + 88x = 5 + 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. 88 + 88x + -5x = 5 + 5x + -5x Combine like terms: 88x + -5x = 83x 88 + 83x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 88 + 83x = 5 + 0 88 + 83x = 5 Add '-88' to each side of the equation. 88 + -88 + 83x = 5 + -88 Combine like terms: 88 + -88 = 0 0 + 83x = 5 + -88 83x = 5 + -88 Combine like terms: 5 + -88 = -83 83x = -83 Divide each side by '83'. x = -1 Simplifying x = -1
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