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Simplifying (2x + -11) + (2x + 27) = 100 Reorder the terms: (-11 + 2x) + (2x + 27) = 100 Remove parenthesis around (-11 + 2x) -11 + 2x + (2x + 27) = 100 Reorder the terms: -11 + 2x + (27 + 2x) = 100 Remove parenthesis around (27 + 2x) -11 + 2x + 27 + 2x = 100 Reorder the terms: -11 + 27 + 2x + 2x = 100 Combine like terms: -11 + 27 = 16 16 + 2x + 2x = 100 Combine like terms: 2x + 2x = 4x 16 + 4x = 100 Solving 16 + 4x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4x = 100 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 100 + -16 4x = 100 + -16 Combine like terms: 100 + -16 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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