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Simplifying 9x + 27 = -10(x + 98) Reorder the terms: 27 + 9x = -10(x + 98) Reorder the terms: 27 + 9x = -10(98 + x) 27 + 9x = (98 * -10 + x * -10) 27 + 9x = (-980 + -10x) Solving 27 + 9x = -980 + -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. 27 + 9x + 10x = -980 + -10x + 10x Combine like terms: 9x + 10x = 19x 27 + 19x = -980 + -10x + 10x Combine like terms: -10x + 10x = 0 27 + 19x = -980 + 0 27 + 19x = -980 Add '-27' to each side of the equation. 27 + -27 + 19x = -980 + -27 Combine like terms: 27 + -27 = 0 0 + 19x = -980 + -27 19x = -980 + -27 Combine like terms: -980 + -27 = -1007 19x = -1007 Divide each side by '19'. x = -53 Simplifying x = -53
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