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Simplifying x + (x + 29) + (3x + -38) = 531 Reorder the terms: x + (29 + x) + (3x + -38) = 531 Remove parenthesis around (29 + x) x + 29 + x + (3x + -38) = 531 Reorder the terms: x + 29 + x + (-38 + 3x) = 531 Remove parenthesis around (-38 + 3x) x + 29 + x + -38 + 3x = 531 Reorder the terms: 29 + -38 + x + x + 3x = 531 Combine like terms: 29 + -38 = -9 -9 + x + x + 3x = 531 Combine like terms: x + x = 2x -9 + 2x + 3x = 531 Combine like terms: 2x + 3x = 5x -9 + 5x = 531 Solving -9 + 5x = 531 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x = 531 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 531 + 9 5x = 531 + 9 Combine like terms: 531 + 9 = 540 5x = 540 Divide each side by '5'. x = 108 Simplifying x = 108
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