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Simplifying 3x + -2(-2x + 3) = -83 Reorder the terms: 3x + -2(3 + -2x) = -83 3x + (3 * -2 + -2x * -2) = -83 3x + (-6 + 4x) = -83 Reorder the terms: -6 + 3x + 4x = -83 Combine like terms: 3x + 4x = 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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