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