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Simplifying -5x + -2 + -6(x + 1) = -1(2x + 7) Reorder the terms: -5x + -2 + -6(1 + x) = -1(2x + 7) -5x + -2 + (1 * -6 + x * -6) = -1(2x + 7) -5x + -2 + (-6 + -6x) = -1(2x + 7) Reorder the terms: -2 + -6 + -5x + -6x = -1(2x + 7) Combine like terms: -2 + -6 = -8 -8 + -5x + -6x = -1(2x + 7) Combine like terms: -5x + -6x = -11x -8 + -11x = -1(2x + 7) Reorder the terms: -8 + -11x = -1(7 + 2x) -8 + -11x = (7 * -1 + 2x * -1) -8 + -11x = (-7 + -2x) Solving -8 + -11x = -7 + -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. -8 + -11x + 2x = -7 + -2x + 2x Combine like terms: -11x + 2x = -9x -8 + -9x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -9x = -7 + 0 -8 + -9x = -7 Add '8' to each side of the equation. -8 + 8 + -9x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -7 + 8 -9x = -7 + 8 Combine like terms: -7 + 8 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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