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Simplifying -7x + 2(-2x + -4) = 47 Reorder the terms: -7x + 2(-4 + -2x) = 47 -7x + (-4 * 2 + -2x * 2) = 47 -7x + (-8 + -4x) = 47 Reorder the terms: -8 + -7x + -4x = 47 Combine like terms: -7x + -4x = -11x -8 + -11x = 47 Solving -8 + -11x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11x = 47 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 47 + 8 -11x = 47 + 8 Combine like terms: 47 + 8 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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