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Simplifying 7(x + -7) = 8 + 6x Reorder the terms: 7(-7 + x) = 8 + 6x (-7 * 7 + x * 7) = 8 + 6x (-49 + 7x) = 8 + 6x Solving -49 + 7x = 8 + 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 = 8 + 6x + -6x Combine like terms: 7x + -6x = 1x -49 + 1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 1x = 8 + 0 -49 + 1x = 8 Add '49' to each side of the equation. -49 + 49 + 1x = 8 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = 8 + 49 1x = 8 + 49 Combine like terms: 8 + 49 = 57 1x = 57 Divide each side by '1'. x = 57 Simplifying x = 57
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