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Simplifying -1(1 + 7x) + -6(7 + -1x) = 6 (1 * -1 + 7x * -1) + -6(7 + -1x) = 6 (-1 + -7x) + -6(7 + -1x) = 6 -1 + -7x + (7 * -6 + -1x * -6) = 6 -1 + -7x + (-42 + 6x) = 6 Reorder the terms: -1 + -42 + -7x + 6x = 6 Combine like terms: -1 + -42 = -43 -43 + -7x + 6x = 6 Combine like terms: -7x + 6x = -1x -43 + -1x = 6 Solving -43 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -1x = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -1x = 6 + 43 -1x = 6 + 43 Combine like terms: 6 + 43 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49
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