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Simplifying -7(x + 7) = 3x + -39 Reorder the terms: -7(7 + x) = 3x + -39 (7 * -7 + x * -7) = 3x + -39 (-49 + -7x) = 3x + -39 Reorder the terms: -49 + -7x = -39 + 3x Solving -49 + -7x = -39 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -49 + -7x + -3x = -39 + 3x + -3x Combine like terms: -7x + -3x = -10x -49 + -10x = -39 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + -10x = -39 + 0 -49 + -10x = -39 Add '49' to each side of the equation. -49 + 49 + -10x = -39 + 49 Combine like terms: -49 + 49 = 0 0 + -10x = -39 + 49 -10x = -39 + 49 Combine like terms: -39 + 49 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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