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