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Simplifying -1(2x + 5) + -4x = -47 Reorder the terms: -1(5 + 2x) + -4x = -47 (5 * -1 + 2x * -1) + -4x = -47 (-5 + -2x) + -4x = -47 Combine like terms: -2x + -4x = -6x -5 + -6x = -47 Solving -5 + -6x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = -47 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -47 + 5 -6x = -47 + 5 Combine like terms: -47 + 5 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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