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Simplifying -2x + 21 = -2x + 5 + 8x Reorder the terms: 21 + -2x = -2x + 5 + 8x Reorder the terms: 21 + -2x = 5 + -2x + 8x Combine like terms: -2x + 8x = 6x 21 + -2x = 5 + 6x Solving 21 + -2x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + -2x + -6x = 5 + 6x + -6x Combine like terms: -2x + -6x = -8x 21 + -8x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -8x = 5 + 0 21 + -8x = 5 Add '-21' to each side of the equation. 21 + -21 + -8x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 5 + -21 -8x = 5 + -21 Combine like terms: 5 + -21 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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