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