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Simplifying 4(2x + -2) + 7x = 82 Reorder the terms: 4(-2 + 2x) + 7x = 82 (-2 * 4 + 2x * 4) + 7x = 82 (-8 + 8x) + 7x = 82 Combine like terms: 8x + 7x = 15x -8 + 15x = 82 Solving -8 + 15x = 82 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 = 82 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 82 + 8 15x = 82 + 8 Combine like terms: 82 + 8 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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