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Simplifying x + (x + 26) + (2x + -33) = 457 Reorder the terms: x + (26 + x) + (2x + -33) = 457 Remove parenthesis around (26 + x) x + 26 + x + (2x + -33) = 457 Reorder the terms: x + 26 + x + (-33 + 2x) = 457 Remove parenthesis around (-33 + 2x) x + 26 + x + -33 + 2x = 457 Reorder the terms: 26 + -33 + x + x + 2x = 457 Combine like terms: 26 + -33 = -7 -7 + x + x + 2x = 457 Combine like terms: x + x = 2x -7 + 2x + 2x = 457 Combine like terms: 2x + 2x = 4x -7 + 4x = 457 Solving -7 + 4x = 457 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 457 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 457 + 7 4x = 457 + 7 Combine like terms: 457 + 7 = 464 4x = 464 Divide each side by '4'. x = 116 Simplifying x = 116
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