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Simplifying 8x + 76 = 2x + 114 Reorder the terms: 76 + 8x = 2x + 114 Reorder the terms: 76 + 8x = 114 + 2x Solving 76 + 8x = 114 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 76 + 8x + -2x = 114 + 2x + -2x Combine like terms: 8x + -2x = 6x 76 + 6x = 114 + 2x + -2x Combine like terms: 2x + -2x = 0 76 + 6x = 114 + 0 76 + 6x = 114 Add '-76' to each side of the equation. 76 + -76 + 6x = 114 + -76 Combine like terms: 76 + -76 = 0 0 + 6x = 114 + -76 6x = 114 + -76 Combine like terms: 114 + -76 = 38 6x = 38 Divide each side by '6'. x = 6.333333333 Simplifying x = 6.333333333
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