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Simplifying -1(x + -1) + -7(1 + 7x) = -6 Reorder the terms: -1(-1 + x) + -7(1 + 7x) = -6 (-1 * -1 + x * -1) + -7(1 + 7x) = -6 (1 + -1x) + -7(1 + 7x) = -6 1 + -1x + (1 * -7 + 7x * -7) = -6 1 + -1x + (-7 + -49x) = -6 Reorder the terms: 1 + -7 + -1x + -49x = -6 Combine like terms: 1 + -7 = -6 -6 + -1x + -49x = -6 Combine like terms: -1x + -49x = -50x -6 + -50x = -6 Add '6' to each side of the equation. -6 + 6 + -50x = -6 + 6 Combine like terms: -6 + 6 = 0 0 + -50x = -6 + 6 -50x = -6 + 6 Combine like terms: -6 + 6 = 0 -50x = 0 Solving -50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-50'. x = 0.0 Simplifying x = 0.0
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