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