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Simplifying 7x + 4(2x + 2) = 83 Reorder the terms: 7x + 4(2 + 2x) = 83 7x + (2 * 4 + 2x * 4) = 83 7x + (8 + 8x) = 83 Reorder the terms: 8 + 7x + 8x = 83 Combine like terms: 7x + 8x = 15x 8 + 15x = 83 Solving 8 + 15x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15x = 83 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 83 + -8 15x = 83 + -8 Combine like terms: 83 + -8 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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