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Simplifying -1(1 + 7x) + 6(-7 + x) = 36 (1 * -1 + 7x * -1) + 6(-7 + x) = 36 (-1 + -7x) + 6(-7 + x) = 36 -1 + -7x + (-7 * 6 + x * 6) = 36 -1 + -7x + (-42 + 6x) = 36 Reorder the terms: -1 + -42 + -7x + 6x = 36 Combine like terms: -1 + -42 = -43 -43 + -7x + 6x = 36 Combine like terms: -7x + 6x = -1x -43 + -1x = 36 Solving -43 + -1x = 36 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 = 36 + 43 Combine like terms: -43 + 43 = 0 0 + -1x = 36 + 43 -1x = 36 + 43 Combine like terms: 36 + 43 = 79 -1x = 79 Divide each side by '-1'. x = -79 Simplifying x = -79
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