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Simplifying (x + 42) = (2x + 1) Reorder the terms: (42 + x) = (2x + 1) Remove parenthesis around (42 + x) 42 + x = (2x + 1) Reorder the terms: 42 + x = (1 + 2x) Remove parenthesis around (1 + 2x) 42 + x = 1 + 2x Solving 42 + x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + x + -2x = 1 + 2x + -2x Combine like terms: x + -2x = -1x 42 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -1x = 1 + 0 42 + -1x = 1 Add '-42' to each side of the equation. 42 + -42 + -1x = 1 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 1 + -42 -1x = 1 + -42 Combine like terms: 1 + -42 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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