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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 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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