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Simplifying 7x + 42 = x + 48 Reorder the terms: 42 + 7x = x + 48 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 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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