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Simplifying -4x + 4(-4x + -11) = 46 Reorder the terms: -4x + 4(-11 + -4x) = 46 -4x + (-11 * 4 + -4x * 4) = 46 -4x + (-44 + -16x) = 46 Reorder the terms: -44 + -4x + -16x = 46 Combine like terms: -4x + -16x = -20x -44 + -20x = 46 Solving -44 + -20x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -20x = 46 + 44 Combine like terms: -44 + 44 = 0 0 + -20x = 46 + 44 -20x = 46 + 44 Combine like terms: 46 + 44 = 90 -20x = 90 Divide each side by '-20'. x = -4.5 Simplifying x = -4.5
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