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Simplifying -1(1 + 7x) + -6(-7 + -1x) = 32 (1 * -1 + 7x * -1) + -6(-7 + -1x) = 32 (-1 + -7x) + -6(-7 + -1x) = 32 -1 + -7x + (-7 * -6 + -1x * -6) = 32 -1 + -7x + (42 + 6x) = 32 Reorder the terms: -1 + 42 + -7x + 6x = 32 Combine like terms: -1 + 42 = 41 41 + -7x + 6x = 32 Combine like terms: -7x + 6x = -1x 41 + -1x = 32 Solving 41 + -1x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1x = 32 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 32 + -41 -1x = 32 + -41 Combine like terms: 32 + -41 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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