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Simplifying 8x + 78 = x + 114 Reorder the terms: 78 + 8x = x + 114 Reorder the terms: 78 + 8x = 114 + x Solving 78 + 8x = 114 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 78 + 8x + -1x = 114 + x + -1x Combine like terms: 8x + -1x = 7x 78 + 7x = 114 + x + -1x Combine like terms: x + -1x = 0 78 + 7x = 114 + 0 78 + 7x = 114 Add '-78' to each side of the equation. 78 + -78 + 7x = 114 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = 114 + -78 7x = 114 + -78 Combine like terms: 114 + -78 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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