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Simplifying -1(1 + 7x) + -6(-7 + -1x) + -6(-7 + -1x) = 36 (1 * -1 + 7x * -1) + -6(-7 + -1x) + -6(-7 + -1x) = 36 (-1 + -7x) + -6(-7 + -1x) + -6(-7 + -1x) = 36 -1 + -7x + (-7 * -6 + -1x * -6) + -6(-7 + -1x) = 36 -1 + -7x + (42 + 6x) + -6(-7 + -1x) = 36 -1 + -7x + 42 + 6x + (-7 * -6 + -1x * -6) = 36 -1 + -7x + 42 + 6x + (42 + 6x) = 36 Reorder the terms: -1 + 42 + 42 + -7x + 6x + 6x = 36 Combine like terms: -1 + 42 = 41 41 + 42 + -7x + 6x + 6x = 36 Combine like terms: 41 + 42 = 83 83 + -7x + 6x + 6x = 36 Combine like terms: -7x + 6x = -1x 83 + -1x + 6x = 36 Combine like terms: -1x + 6x = 5x 83 + 5x = 36 Solving 83 + 5x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 5x = 36 + -83 Combine like terms: 83 + -83 = 0 0 + 5x = 36 + -83 5x = 36 + -83 Combine like terms: 36 + -83 = -47 5x = -47 Divide each side by '5'. x = -9.4 Simplifying x = -9.4
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