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Simplifying 8x + -21 = 35 + 6x Reorder the terms: -21 + 8x = 35 + 6x Solving -21 + 8x = 35 + 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 + 8x + -6x = 35 + 6x + -6x Combine like terms: 8x + -6x = 2x -21 + 2x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 2x = 35 + 0 -21 + 2x = 35 Add '21' to each side of the equation. -21 + 21 + 2x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 35 + 21 2x = 35 + 21 Combine like terms: 35 + 21 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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