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Simplifying 4 + x = -1(x + 6) Reorder the terms: 4 + x = -1(6 + x) 4 + x = (6 * -1 + x * -1) 4 + x = (-6 + -1x) Solving 4 + x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + x + x = -6 + -1x + x Combine like terms: x + x = 2x 4 + 2x = -6 + -1x + x Combine like terms: -1x + x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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