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Simplifying 7x + 6 = -4x + 83 Reorder the terms: 6 + 7x = -4x + 83 Reorder the terms: 6 + 7x = 83 + -4x Solving 6 + 7x = 83 + -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. 6 + 7x + 4x = 83 + -4x + 4x Combine like terms: 7x + 4x = 11x 6 + 11x = 83 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 11x = 83 + 0 6 + 11x = 83 Add '-6' to each side of the equation. 6 + -6 + 11x = 83 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 83 + -6 11x = 83 + -6 Combine like terms: 83 + -6 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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