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Simplifying 2(x + 7) = 6 + -4x Reorder the terms: 2(7 + x) = 6 + -4x (7 * 2 + x * 2) = 6 + -4x (14 + 2x) = 6 + -4x Solving 14 + 2x = 6 + -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 + 2x + 4x = 6 + -4x + 4x Combine like terms: 2x + 4x = 6x 14 + 6x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 6x = 6 + 0 14 + 6x = 6 Add '-14' to each side of the equation. 14 + -14 + 6x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 6 + -14 6x = 6 + -14 Combine like terms: 6 + -14 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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