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Simplifying 6x + 2(2x + 7) = 114 Reorder the terms: 6x + 2(7 + 2x) = 114 6x + (7 * 2 + 2x * 2) = 114 6x + (14 + 4x) = 114 Reorder the terms: 14 + 6x + 4x = 114 Combine like terms: 6x + 4x = 10x 14 + 10x = 114 Solving 14 + 10x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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