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Simplifying 10x + 14 = 6x + 114 Reorder the terms: 14 + 10x = 6x + 114 Reorder the terms: 14 + 10x = 114 + 6x Solving 14 + 10x = 114 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 10x + -6x = 114 + 6x + -6x Combine like terms: 10x + -6x = 4x 14 + 4x = 114 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 4x = 114 + 0 14 + 4x = 114 Add '-14' to each side of the equation. 14 + -14 + 4x = 114 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 114 + -14 4x = 114 + -14 Combine like terms: 114 + -14 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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