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Simplifying 2(x + 4) + x + (x + 8) = 100 Reorder the terms: 2(4 + x) + x + (x + 8) = 100 (4 * 2 + x * 2) + x + (x + 8) = 100 (8 + 2x) + x + (x + 8) = 100 Reorder the terms: 8 + 2x + x + (8 + x) = 100 Remove parenthesis around (8 + x) 8 + 2x + x + 8 + x = 100 Reorder the terms: 8 + 8 + 2x + x + x = 100 Combine like terms: 8 + 8 = 16 16 + 2x + x + x = 100 Combine like terms: 2x + x = 3x 16 + 3x + x = 100 Combine like terms: 3x + x = 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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