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Simplifying 5x + -14 = x + 10 + 8 Reorder the terms: -14 + 5x = x + 10 + 8 Reorder the terms: -14 + 5x = 10 + 8 + x Combine like terms: 10 + 8 = 18 -14 + 5x = 18 + x Solving -14 + 5x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 5x + -1x = 18 + x + -1x Combine like terms: 5x + -1x = 4x -14 + 4x = 18 + x + -1x Combine like terms: x + -1x = 0 -14 + 4x = 18 + 0 -14 + 4x = 18 Add '14' to each side of the equation. -14 + 14 + 4x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 18 + 14 4x = 18 + 14 Combine like terms: 18 + 14 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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