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Simplifying 42 + 4x = 47 + -1x Solving 42 + 4x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + 4x + x = 47 + -1x + x Combine like terms: 4x + x = 5x 42 + 5x = 47 + -1x + x Combine like terms: -1x + x = 0 42 + 5x = 47 + 0 42 + 5x = 47 Add '-42' to each side of the equation. 42 + -42 + 5x = 47 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 47 + -42 5x = 47 + -42 Combine like terms: 47 + -42 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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