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Simplifying 8x + 5x + -21 = 42 + -8x Reorder the terms: -21 + 8x + 5x = 42 + -8x Combine like terms: 8x + 5x = 13x -21 + 13x = 42 + -8x Solving -21 + 13x = 42 + -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. -21 + 13x + 8x = 42 + -8x + 8x Combine like terms: 13x + 8x = 21x -21 + 21x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 21x = 42 + 0 -21 + 21x = 42 Add '21' to each side of the equation. -21 + 21 + 21x = 42 + 21 Combine like terms: -21 + 21 = 0 0 + 21x = 42 + 21 21x = 42 + 21 Combine like terms: 42 + 21 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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