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Simplifying -272 = 5(7x + -8) + -6x Reorder the terms: -272 = 5(-8 + 7x) + -6x -272 = (-8 * 5 + 7x * 5) + -6x -272 = (-40 + 35x) + -6x Combine like terms: 35x + -6x = 29x -272 = -40 + 29x Solving -272 = -40 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -272 + -29x = -40 + 29x + -29x Combine like terms: 29x + -29x = 0 -272 + -29x = -40 + 0 -272 + -29x = -40 Add '272' to each side of the equation. -272 + 272 + -29x = -40 + 272 Combine like terms: -272 + 272 = 0 0 + -29x = -40 + 272 -29x = -40 + 272 Combine like terms: -40 + 272 = 232 -29x = 232 Divide each side by '-29'. x = -8 Simplifying x = -8
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