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Simplifying -11 + 10(x + 10) = 5 + 4(2x + 11) Reorder the terms: -11 + 10(10 + x) = 5 + 4(2x + 11) -11 + (10 * 10 + x * 10) = 5 + 4(2x + 11) -11 + (100 + 10x) = 5 + 4(2x + 11) Combine like terms: -11 + 100 = 89 89 + 10x = 5 + 4(2x + 11) Reorder the terms: 89 + 10x = 5 + 4(11 + 2x) 89 + 10x = 5 + (11 * 4 + 2x * 4) 89 + 10x = 5 + (44 + 8x) Combine like terms: 5 + 44 = 49 89 + 10x = 49 + 8x Solving 89 + 10x = 49 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 89 + 10x + -8x = 49 + 8x + -8x Combine like terms: 10x + -8x = 2x 89 + 2x = 49 + 8x + -8x Combine like terms: 8x + -8x = 0 89 + 2x = 49 + 0 89 + 2x = 49 Add '-89' to each side of the equation. 89 + -89 + 2x = 49 + -89 Combine like terms: 89 + -89 = 0 0 + 2x = 49 + -89 2x = 49 + -89 Combine like terms: 49 + -89 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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