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Simplifying 2(x + 2) = -1(4x + 6) Reorder the terms: 2(2 + x) = -1(4x + 6) (2 * 2 + x * 2) = -1(4x + 6) (4 + 2x) = -1(4x + 6) Reorder the terms: 4 + 2x = -1(6 + 4x) 4 + 2x = (6 * -1 + 4x * -1) 4 + 2x = (-6 + -4x) Solving 4 + 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. 4 + 2x + 4x = -6 + -4x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 6x = -6 + 0 4 + 6x = -6 Add '-4' to each side of the equation. 4 + -4 + 6x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -6 + -4 6x = -6 + -4 Combine like terms: -6 + -4 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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