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Simplifying x + (x + 21) + (-27 + 2x) = 562 Reorder the terms: x + (21 + x) + (-27 + 2x) = 562 Remove parenthesis around (21 + x) x + 21 + x + (-27 + 2x) = 562 Remove parenthesis around (-27 + 2x) x + 21 + x + -27 + 2x = 562 Reorder the terms: 21 + -27 + x + x + 2x = 562 Combine like terms: 21 + -27 = -6 -6 + x + x + 2x = 562 Combine like terms: x + x = 2x -6 + 2x + 2x = 562 Combine like terms: 2x + 2x = 4x -6 + 4x = 562 Solving -6 + 4x = 562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 562 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 562 + 6 4x = 562 + 6 Combine like terms: 562 + 6 = 568 4x = 568 Divide each side by '4'. x = 142 Simplifying x = 142
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