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Simplifying -5 + -8(1 + -1x) = 2(7x + -6) -5 + (1 * -8 + -1x * -8) = 2(7x + -6) -5 + (-8 + 8x) = 2(7x + -6) Combine like terms: -5 + -8 = -13 -13 + 8x = 2(7x + -6) Reorder the terms: -13 + 8x = 2(-6 + 7x) -13 + 8x = (-6 * 2 + 7x * 2) -13 + 8x = (-12 + 14x) Solving -13 + 8x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -13 + 8x + -14x = -12 + 14x + -14x Combine like terms: 8x + -14x = -6x -13 + -6x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 -13 + -6x = -12 + 0 -13 + -6x = -12 Add '13' to each side of the equation. -13 + 13 + -6x = -12 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -12 + 13 -6x = -12 + 13 Combine like terms: -12 + 13 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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