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Simplifying 5x + 21 = 8x + -6 Reorder the terms: 21 + 5x = 8x + -6 Reorder the terms: 21 + 5x = -6 + 8x Solving 21 + 5x = -6 + 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 + 5x + -8x = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x 21 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -3x = -6 + 0 21 + -3x = -6 Add '-21' to each side of the equation. 21 + -21 + -3x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -6 + -21 -3x = -6 + -21 Combine like terms: -6 + -21 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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