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Simplifying 18x + 9 = 5x + 100 Reorder the terms: 9 + 18x = 5x + 100 Reorder the terms: 9 + 18x = 100 + 5x Solving 9 + 18x = 100 + 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. 9 + 18x + -5x = 100 + 5x + -5x Combine like terms: 18x + -5x = 13x 9 + 13x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 13x = 100 + 0 9 + 13x = 100 Add '-9' to each side of the equation. 9 + -9 + 13x = 100 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 100 + -9 13x = 100 + -9 Combine like terms: 100 + -9 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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