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Simplifying (-7x) + -83 = 4x + 49 Reorder the terms: -83 + (-7x) = 4x + 49 Reorder the terms: -83 + (-7x) = 49 + 4x Solving -83 + (-7x) = 49 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -83 + (-7x) + -4x = 49 + 4x + -4x Combine like terms: (-7x) + -4x = -11x -83 + -11x = 49 + 4x + -4x Combine like terms: 4x + -4x = 0 -83 + -11x = 49 + 0 -83 + -11x = 49 Add '83' to each side of the equation. -83 + 83 + -11x = 49 + 83 Combine like terms: -83 + 83 = 0 0 + -11x = 49 + 83 -11x = 49 + 83 Combine like terms: 49 + 83 = 132 -11x = 132 Divide each side by '-11'. x = -12 Simplifying x = -12
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