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Simplifying -6 + -7(7x + 7) = 29 + -7x Reorder the terms: -6 + -7(7 + 7x) = 29 + -7x -6 + (7 * -7 + 7x * -7) = 29 + -7x -6 + (-49 + -49x) = 29 + -7x Combine like terms: -6 + -49 = -55 -55 + -49x = 29 + -7x Solving -55 + -49x = 29 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -55 + -49x + 7x = 29 + -7x + 7x Combine like terms: -49x + 7x = -42x -55 + -42x = 29 + -7x + 7x Combine like terms: -7x + 7x = 0 -55 + -42x = 29 + 0 -55 + -42x = 29 Add '55' to each side of the equation. -55 + 55 + -42x = 29 + 55 Combine like terms: -55 + 55 = 0 0 + -42x = 29 + 55 -42x = 29 + 55 Combine like terms: 29 + 55 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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