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Simplifying 4(x + 7) + 7x = 83 Reorder the terms: 4(7 + x) + 7x = 83 (7 * 4 + x * 4) + 7x = 83 (28 + 4x) + 7x = 83 Combine like terms: 4x + 7x = 11x 28 + 11x = 83 Solving 28 + 11x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 11x = 83 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 83 + -28 11x = 83 + -28 Combine like terms: 83 + -28 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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