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Simplifying 5x + 14 = 8x + 1 Reorder the terms: 14 + 5x = 8x + 1 Reorder the terms: 14 + 5x = 1 + 8x Solving 14 + 5x = 1 + 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 + 5x + -8x = 1 + 8x + -8x Combine like terms: 5x + -8x = -3x 14 + -3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -3x = 1 + 0 14 + -3x = 1 Add '-14' to each side of the equation. 14 + -14 + -3x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 1 + -14 -3x = 1 + -14 Combine like terms: 1 + -14 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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