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Simplifying (1 + 7x) + -6(-7 + -1x) = 36 Remove parenthesis around (1 + 7x) 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 = -7 13x = -7 Divide each side by '13'. x = -0.5384615385 Simplifying x = -0.5384615385
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