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Simplifying 6x + -7(x + 7) = 4x + -39 Reorder the terms: 6x + -7(7 + x) = 4x + -39 6x + (7 * -7 + x * -7) = 4x + -39 6x + (-49 + -7x) = 4x + -39 Reorder the terms: -49 + 6x + -7x = 4x + -39 Combine like terms: 6x + -7x = -1x -49 + -1x = 4x + -39 Reorder the terms: -49 + -1x = -39 + 4x Solving -49 + -1x = -39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -49 + -1x + -4x = -39 + 4x + -4x Combine like terms: -1x + -4x = -5x -49 + -5x = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 -49 + -5x = -39 + 0 -49 + -5x = -39 Add '49' to each side of the equation. -49 + 49 + -5x = -39 + 49 Combine like terms: -49 + 49 = 0 0 + -5x = -39 + 49 -5x = -39 + 49 Combine like terms: -39 + 49 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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