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Simplifying 2x + 2(-2x + -11) = -46 Reorder the terms: 2x + 2(-11 + -2x) = -46 2x + (-11 * 2 + -2x * 2) = -46 2x + (-22 + -4x) = -46 Reorder the terms: -22 + 2x + -4x = -46 Combine like terms: 2x + -4x = -2x -22 + -2x = -46 Solving -22 + -2x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -2x = -46 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -46 + 22 -2x = -46 + 22 Combine like terms: -46 + 22 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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