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Simplifying -1(1 + 7x) + -6(-7 + -1x) = -4(1 + -6a) (1 * -1 + 7x * -1) + -6(-7 + -1x) = -4(1 + -6a) (-1 + -7x) + -6(-7 + -1x) = -4(1 + -6a) -1 + -7x + (-7 * -6 + -1x * -6) = -4(1 + -6a) -1 + -7x + (42 + 6x) = -4(1 + -6a) Reorder the terms: -1 + 42 + -7x + 6x = -4(1 + -6a) Combine like terms: -1 + 42 = 41 41 + -7x + 6x = -4(1 + -6a) Combine like terms: -7x + 6x = -1x 41 + -1x = -4(1 + -6a) 41 + -1x = (1 * -4 + -6a * -4) 41 + -1x = (-4 + 24a) Solving 41 + -1x = -4 + 24a 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 = -4 + -41 + 24a Combine like terms: 41 + -41 = 0 0 + -1x = -4 + -41 + 24a -1x = -4 + -41 + 24a Combine like terms: -4 + -41 = -45 -1x = -45 + 24a Divide each side by '-1'. x = 45 + -24a Simplifying x = 45 + -24a
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