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Simplifying (8x + 78) + -2x = (2x + 114) + -2x Reorder the terms: (78 + 8x) + -2x = (2x + 114) + -2x Remove parenthesis around (78 + 8x) 78 + 8x + -2x = (2x + 114) + -2x Combine like terms: 8x + -2x = 6x 78 + 6x = (2x + 114) + -2x Reorder the terms: 78 + 6x = (114 + 2x) + -2x Remove parenthesis around (114 + 2x) 78 + 6x = 114 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + 6x = 114 + 0 78 + 6x = 114 Solving 78 + 6x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 6x = 114 + -78 Combine like terms: 78 + -78 = 0 0 + 6x = 114 + -78 6x = 114 + -78 Combine like terms: 114 + -78 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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