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Simplifying x + (x + 2) = 38 + (x + 4) Reorder the terms: x + (2 + x) = 38 + (x + 4) Remove parenthesis around (2 + x) x + 2 + x = 38 + (x + 4) Reorder the terms: 2 + x + x = 38 + (x + 4) Combine like terms: x + x = 2x 2 + 2x = 38 + (x + 4) Reorder the terms: 2 + 2x = 38 + (4 + x) Remove parenthesis around (4 + x) 2 + 2x = 38 + 4 + x Combine like terms: 38 + 4 = 42 2 + 2x = 42 + x Solving 2 + 2x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 2x + -1x = 42 + x + -1x Combine like terms: 2x + -1x = 1x 2 + 1x = 42 + x + -1x Combine like terms: x + -1x = 0 2 + 1x = 42 + 0 2 + 1x = 42 Add '-2' to each side of the equation. 2 + -2 + 1x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 42 + -2 1x = 42 + -2 Combine like terms: 42 + -2 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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