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Simplifying -11 + 10(x + 10) = 4 + -5(2x + 11) Reorder the terms: -11 + 10(10 + x) = 4 + -5(2x + 11) -11 + (10 * 10 + x * 10) = 4 + -5(2x + 11) -11 + (100 + 10x) = 4 + -5(2x + 11) Combine like terms: -11 + 100 = 89 89 + 10x = 4 + -5(2x + 11) Reorder the terms: 89 + 10x = 4 + -5(11 + 2x) 89 + 10x = 4 + (11 * -5 + 2x * -5) 89 + 10x = 4 + (-55 + -10x) Combine like terms: 4 + -55 = -51 89 + 10x = -51 + -10x Solving 89 + 10x = -51 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 89 + 10x + 10x = -51 + -10x + 10x Combine like terms: 10x + 10x = 20x 89 + 20x = -51 + -10x + 10x Combine like terms: -10x + 10x = 0 89 + 20x = -51 + 0 89 + 20x = -51 Add '-89' to each side of the equation. 89 + -89 + 20x = -51 + -89 Combine like terms: 89 + -89 = 0 0 + 20x = -51 + -89 20x = -51 + -89 Combine like terms: -51 + -89 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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