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Simplifying -1(1 + 7x) * 7 + -6(-7 + -1x) = 36 Reorder the terms for easier multiplication: -1 * 7(1 + 7x) + -6(-7 + -1x) = 36 Multiply -1 * 7 -7(1 + 7x) + -6(-7 + -1x) = 36 (1 * -7 + 7x * -7) + -6(-7 + -1x) = 36 (-7 + -49x) + -6(-7 + -1x) = 36 -7 + -49x + (-7 * -6 + -1x * -6) = 36 -7 + -49x + (42 + 6x) = 36 Reorder the terms: -7 + 42 + -49x + 6x = 36 Combine like terms: -7 + 42 = 35 35 + -49x + 6x = 36 Combine like terms: -49x + 6x = -43x 35 + -43x = 36 Solving 35 + -43x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -43x = 36 + -35 Combine like terms: 35 + -35 = 0 0 + -43x = 36 + -35 -43x = 36 + -35 Combine like terms: 36 + -35 = 1 -43x = 1 Divide each side by '-43'. x = -0.02325581395 Simplifying x = -0.02325581395
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