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Simplifying 7x + 2(-7x + -3) = -83 Reorder the terms: 7x + 2(-3 + -7x) = -83 7x + (-3 * 2 + -7x * 2) = -83 7x + (-6 + -14x) = -83 Reorder the terms: -6 + 7x + -14x = -83 Combine like terms: 7x + -14x = -7x -6 + -7x = -83 Solving -6 + -7x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = -83 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -83 + 6 -7x = -83 + 6 Combine like terms: -83 + 6 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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