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Simplifying 2x + 102 = 8x + 54 Reorder the terms: 102 + 2x = 8x + 54 Reorder the terms: 102 + 2x = 54 + 8x Solving 102 + 2x = 54 + 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. 102 + 2x + -8x = 54 + 8x + -8x Combine like terms: 2x + -8x = -6x 102 + -6x = 54 + 8x + -8x Combine like terms: 8x + -8x = 0 102 + -6x = 54 + 0 102 + -6x = 54 Add '-102' to each side of the equation. 102 + -102 + -6x = 54 + -102 Combine like terms: 102 + -102 = 0 0 + -6x = 54 + -102 -6x = 54 + -102 Combine like terms: 54 + -102 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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