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Simplifying -7(x + 7) = 6 + -6x Reorder the terms: -7(7 + x) = 6 + -6x (7 * -7 + x * -7) = 6 + -6x (-49 + -7x) = 6 + -6x Solving -49 + -7x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -49 + -7x + 6x = 6 + -6x + 6x Combine like terms: -7x + 6x = -1x -49 + -1x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -49 + -1x = 6 + 0 -49 + -1x = 6 Add '49' to each side of the equation. -49 + 49 + -1x = 6 + 49 Combine like terms: -49 + 49 = 0 0 + -1x = 6 + 49 -1x = 6 + 49 Combine like terms: 6 + 49 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55
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