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Simplifying 7x + -42 = 48 + x Reorder the terms: -42 + 7x = 48 + x Solving -42 + 7x = 48 + 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 + 7x + -1x = 48 + x + -1x Combine like terms: 7x + -1x = 6x -42 + 6x = 48 + x + -1x Combine like terms: x + -1x = 0 -42 + 6x = 48 + 0 -42 + 6x = 48 Add '42' to each side of the equation. -42 + 42 + 6x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 48 + 42 6x = 48 + 42 Combine like terms: 48 + 42 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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