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Simplifying 2x + -4(-4x + -11) = -46 Reorder the terms: 2x + -4(-11 + -4x) = -46 2x + (-11 * -4 + -4x * -4) = -46 2x + (44 + 16x) = -46 Reorder the terms: 44 + 2x + 16x = -46 Combine like terms: 2x + 16x = 18x 44 + 18x = -46 Solving 44 + 18x = -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 + 18x = -46 + -44 Combine like terms: 44 + -44 = 0 0 + 18x = -46 + -44 18x = -46 + -44 Combine like terms: -46 + -44 = -90 18x = -90 Divide each side by '18'. x = -5 Simplifying x = -5
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