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Simplifying x + (2x + -3) + (2x + 6) = 83 Reorder the terms: x + (-3 + 2x) + (2x + 6) = 83 Remove parenthesis around (-3 + 2x) x + -3 + 2x + (2x + 6) = 83 Reorder the terms: x + -3 + 2x + (6 + 2x) = 83 Remove parenthesis around (6 + 2x) x + -3 + 2x + 6 + 2x = 83 Reorder the terms: -3 + 6 + x + 2x + 2x = 83 Combine like terms: -3 + 6 = 3 3 + x + 2x + 2x = 83 Combine like terms: x + 2x = 3x 3 + 3x + 2x = 83 Combine like terms: 3x + 2x = 5x 3 + 5x = 83 Solving 3 + 5x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 83 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 83 + -3 5x = 83 + -3 Combine like terms: 83 + -3 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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