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Simplifying 7x + 21 = 8x + -14 Reorder the terms: 21 + 7x = 8x + -14 Reorder the terms: 21 + 7x = -14 + 8x Solving 21 + 7x = -14 + 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 + 7x + -8x = -14 + 8x + -8x Combine like terms: 7x + -8x = -1x 21 + -1x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -1x = -14 + 0 21 + -1x = -14 Add '-21' to each side of the equation. 21 + -21 + -1x = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -14 + -21 -1x = -14 + -21 Combine like terms: -14 + -21 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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