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Simplifying 8x + 21 = 7x + -6 Reorder the terms: 21 + 8x = 7x + -6 Reorder the terms: 21 + 8x = -6 + 7x Solving 21 + 8x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 8x + -7x = -6 + 7x + -7x Combine like terms: 8x + -7x = 1x 21 + 1x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 1x = -6 + 0 21 + 1x = -6 Add '-21' to each side of the equation. 21 + -21 + 1x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -6 + -21 1x = -6 + -21 Combine like terms: -6 + -21 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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