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Simplifying -23x + 100 + -18x = -108 + 9x + 8 Reorder the terms: 100 + -23x + -18x = -108 + 9x + 8 Combine like terms: -23x + -18x = -41x 100 + -41x = -108 + 9x + 8 Reorder the terms: 100 + -41x = -108 + 8 + 9x Combine like terms: -108 + 8 = -100 100 + -41x = -100 + 9x Solving 100 + -41x = -100 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 100 + -41x + -9x = -100 + 9x + -9x Combine like terms: -41x + -9x = -50x 100 + -50x = -100 + 9x + -9x Combine like terms: 9x + -9x = 0 100 + -50x = -100 + 0 100 + -50x = -100 Add '-100' to each side of the equation. 100 + -100 + -50x = -100 + -100 Combine like terms: 100 + -100 = 0 0 + -50x = -100 + -100 -50x = -100 + -100 Combine like terms: -100 + -100 = -200 -50x = -200 Divide each side by '-50'. x = 4 Simplifying x = 4
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