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Simplifying 42 + -1x = 45 + -2x Solving 42 + -1x = 45 + -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 + -1x + 2x = 45 + -2x + 2x Combine like terms: -1x + 2x = 1x 42 + 1x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 1x = 45 + 0 42 + 1x = 45 Add '-42' to each side of the equation. 42 + -42 + 1x = 45 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 45 + -42 1x = 45 + -42 Combine like terms: 45 + -42 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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