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Simplifying -1(1 + 7x) + 6(-7 + -1x) = 36 (1 * -1 + 7x * -1) + 6(-7 + -1x) = 36 (-1 + -7x) + 6(-7 + -1x) = 36 -1 + -7x + (-7 * 6 + -1x * 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 = -13x -43 + -13x = 36 Solving -43 + -13x = 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 + -13x = 36 + 43 Combine like terms: -43 + 43 = 0 0 + -13x = 36 + 43 -13x = 36 + 43 Combine like terms: 36 + 43 = 79 -13x = 79 Divide each side by '-13'. x = -6.076923077 Simplifying x = -6.076923077
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