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Simplifying -7(x + 7) = -5x + -47 Reorder the terms: -7(7 + x) = -5x + -47 (7 * -7 + x * -7) = -5x + -47 (-49 + -7x) = -5x + -47 Reorder the terms: -49 + -7x = -47 + -5x Solving -49 + -7x = -47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -49 + -7x + 5x = -47 + -5x + 5x Combine like terms: -7x + 5x = -2x -49 + -2x = -47 + -5x + 5x Combine like terms: -5x + 5x = 0 -49 + -2x = -47 + 0 -49 + -2x = -47 Add '49' to each side of the equation. -49 + 49 + -2x = -47 + 49 Combine like terms: -49 + 49 = 0 0 + -2x = -47 + 49 -2x = -47 + 49 Combine like terms: -47 + 49 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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