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Simplifying 6x + 14 = 2(2x + 5) Reorder the terms: 14 + 6x = 2(2x + 5) Reorder the terms: 14 + 6x = 2(5 + 2x) 14 + 6x = (5 * 2 + 2x * 2) 14 + 6x = (10 + 4x) Solving 14 + 6x = 10 + 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 = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x 14 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 2x = 10 + 0 14 + 2x = 10 Add '-14' to each side of the equation. 14 + -14 + 2x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 10 + -14 2x = 10 + -14 Combine like terms: 10 + -14 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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