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Simplifying 2(4 + 7x) = -1(6 + -7x) (4 * 2 + 7x * 2) = -1(6 + -7x) (8 + 14x) = -1(6 + -7x) 8 + 14x = (6 * -1 + -7x * -1) 8 + 14x = (-6 + 7x) Solving 8 + 14x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 14x + -7x = -6 + 7x + -7x Combine like terms: 14x + -7x = 7x 8 + 7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 7x = -6 + 0 8 + 7x = -6 Add '-8' to each side of the equation. 8 + -8 + 7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = -6 + -8 7x = -6 + -8 Combine like terms: -6 + -8 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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