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Simplifying 7 + -5(4x + -6) = -83 Reorder the terms: 7 + -5(-6 + 4x) = -83 7 + (-6 * -5 + 4x * -5) = -83 7 + (30 + -20x) = -83 Combine like terms: 7 + 30 = 37 37 + -20x = -83 Solving 37 + -20x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -20x = -83 + -37 Combine like terms: 37 + -37 = 0 0 + -20x = -83 + -37 -20x = -83 + -37 Combine like terms: -83 + -37 = -120 -20x = -120 Divide each side by '-20'. x = 6 Simplifying x = 6
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