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Simplifying 7x + 14 = 8x + -10 Reorder the terms: 14 + 7x = 8x + -10 Reorder the terms: 14 + 7x = -10 + 8x Solving 14 + 7x = -10 + 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. 14 + 7x + -8x = -10 + 8x + -8x Combine like terms: 7x + -8x = -1x 14 + -1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -1x = -10 + 0 14 + -1x = -10 Add '-14' to each side of the equation. 14 + -14 + -1x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -10 + -14 -1x = -10 + -14 Combine like terms: -10 + -14 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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