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Simplifying -1x + 5(-6 + -7x) = -1(9 + 2x) -1x + (-6 * 5 + -7x * 5) = -1(9 + 2x) -1x + (-30 + -35x) = -1(9 + 2x) Reorder the terms: -30 + -1x + -35x = -1(9 + 2x) Combine like terms: -1x + -35x = -36x -30 + -36x = -1(9 + 2x) -30 + -36x = (9 * -1 + 2x * -1) -30 + -36x = (-9 + -2x) Solving -30 + -36x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + -36x + 2x = -9 + -2x + 2x Combine like terms: -36x + 2x = -34x -30 + -34x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + -34x = -9 + 0 -30 + -34x = -9 Add '30' to each side of the equation. -30 + 30 + -34x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + -34x = -9 + 30 -34x = -9 + 30 Combine like terms: -9 + 30 = 21 -34x = 21 Divide each side by '-34'. x = -0.6176470588 Simplifying x = -0.6176470588
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