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Simplifying -2x + -4(x + -5) = -46 Reorder the terms: -2x + -4(-5 + x) = -46 -2x + (-5 * -4 + x * -4) = -46 -2x + (20 + -4x) = -46 Reorder the terms: 20 + -2x + -4x = -46 Combine like terms: -2x + -4x = -6x 20 + -6x = -46 Solving 20 + -6x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -6x = -46 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -46 + -20 -6x = -46 + -20 Combine like terms: -46 + -20 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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