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Simplifying 5x + -42 = 42 + x Reorder the terms: -42 + 5x = 42 + x Solving -42 + 5x = 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. -42 + 5x + -1x = 42 + x + -1x Combine like terms: 5x + -1x = 4x -42 + 4x = 42 + x + -1x Combine like terms: x + -1x = 0 -42 + 4x = 42 + 0 -42 + 4x = 42 Add '42' to each side of the equation. -42 + 42 + 4x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 42 + 42 4x = 42 + 42 Combine like terms: 42 + 42 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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