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Simplifying 8x + 14 = 4x + 102 Reorder the terms: 14 + 8x = 4x + 102 Reorder the terms: 14 + 8x = 102 + 4x Solving 14 + 8x = 102 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 8x + -4x = 102 + 4x + -4x Combine like terms: 8x + -4x = 4x 14 + 4x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 4x = 102 + 0 14 + 4x = 102 Add '-14' to each side of the equation. 14 + -14 + 4x = 102 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 102 + -14 4x = 102 + -14 Combine like terms: 102 + -14 = 88 4x = 88 Divide each side by '4'. x = 22 Simplifying x = 22
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