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Simplifying 2x + -18 + 8x + 1 = 20 + 5x + -2 Reorder the terms: -18 + 1 + 2x + 8x = 20 + 5x + -2 Combine like terms: -18 + 1 = -17 -17 + 2x + 8x = 20 + 5x + -2 Combine like terms: 2x + 8x = 10x -17 + 10x = 20 + 5x + -2 Reorder the terms: -17 + 10x = 20 + -2 + 5x Combine like terms: 20 + -2 = 18 -17 + 10x = 18 + 5x Solving -17 + 10x = 18 + 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. -17 + 10x + -5x = 18 + 5x + -5x Combine like terms: 10x + -5x = 5x -17 + 5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 5x = 18 + 0 -17 + 5x = 18 Add '17' to each side of the equation. -17 + 17 + 5x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 18 + 17 5x = 18 + 17 Combine like terms: 18 + 17 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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