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Simplifying 2x + 20 + 8x = 100 + 5x + 10 Reorder the terms: 20 + 2x + 8x = 100 + 5x + 10 Combine like terms: 2x + 8x = 10x 20 + 10x = 100 + 5x + 10 Reorder the terms: 20 + 10x = 100 + 10 + 5x Combine like terms: 100 + 10 = 110 20 + 10x = 110 + 5x Solving 20 + 10x = 110 + 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. 20 + 10x + -5x = 110 + 5x + -5x Combine like terms: 10x + -5x = 5x 20 + 5x = 110 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 5x = 110 + 0 20 + 5x = 110 Add '-20' to each side of the equation. 20 + -20 + 5x = 110 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 110 + -20 5x = 110 + -20 Combine like terms: 110 + -20 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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