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