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Simplifying 42 + x = 81 + -2x Solving 42 + x = 81 + -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 = 81 + -2x + 2x Combine like terms: x + 2x = 3x 42 + 3x = 81 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 3x = 81 + 0 42 + 3x = 81 Add '-42' to each side of the equation. 42 + -42 + 3x = 81 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 81 + -42 3x = 81 + -42 Combine like terms: 81 + -42 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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