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Simplifying 2x + 1 = (-8x + 20) + 1 Reorder the terms: 1 + 2x = (-8x + 20) + 1 Reorder the terms: 1 + 2x = (20 + -8x) + 1 Remove parenthesis around (20 + -8x) 1 + 2x = 20 + -8x + 1 Reorder the terms: 1 + 2x = 20 + 1 + -8x Combine like terms: 20 + 1 = 21 1 + 2x = 21 + -8x Solving 1 + 2x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1 + 2x + 8x = 21 + -8x + 8x Combine like terms: 2x + 8x = 10x 1 + 10x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 10x = 21 + 0 1 + 10x = 21 Add '-1' to each side of the equation. 1 + -1 + 10x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 21 + -1 10x = 21 + -1 Combine like terms: 21 + -1 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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