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Simplifying -1(1 + 7x + -3) + -6(-7 + -1x) = 36 Reorder the terms: -1(1 + -3 + 7x) + -6(-7 + -1x) = 36 Combine like terms: 1 + -3 = -2 -1(-2 + 7x) + -6(-7 + -1x) = 36 (-2 * -1 + 7x * -1) + -6(-7 + -1x) = 36 (2 + -7x) + -6(-7 + -1x) = 36 2 + -7x + (-7 * -6 + -1x * -6) = 36 2 + -7x + (42 + 6x) = 36 Reorder the terms: 2 + 42 + -7x + 6x = 36 Combine like terms: 2 + 42 = 44 44 + -7x + 6x = 36 Combine like terms: -7x + 6x = -1x 44 + -1x = 36 Solving 44 + -1x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1x = 36 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = 36 + -44 -1x = 36 + -44 Combine like terms: 36 + -44 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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