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Simplifying 4x + 14 = 114 + -6x Reorder the terms: 14 + 4x = 114 + -6x Solving 14 + 4x = 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 + 4x + 6x = 114 + -6x + 6x Combine like terms: 4x + 6x = 10x 14 + 10x = 114 + -6x + 6x Combine like terms: -6x + 6x = 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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