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