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Simplifying -2(x + 4) + -4(x + 6) = 0 Reorder the terms: -2(4 + x) + -4(x + 6) = 0 (4 * -2 + x * -2) + -4(x + 6) = 0 (-8 + -2x) + -4(x + 6) = 0 Reorder the terms: -8 + -2x + -4(6 + x) = 0 -8 + -2x + (6 * -4 + x * -4) = 0 -8 + -2x + (-24 + -4x) = 0 Reorder the terms: -8 + -24 + -2x + -4x = 0 Combine like terms: -8 + -24 = -32 -32 + -2x + -4x = 0 Combine like terms: -2x + -4x = -6x -32 + -6x = 0 Solving -32 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -6x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 0 + 32 -6x = 0 + 32 Combine like terms: 0 + 32 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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