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Simplifying 7x + 42 = 49 + 6x Reorder the terms: 42 + 7x = 49 + 6x Solving 42 + 7x = 49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 7x + -6x = 49 + 6x + -6x Combine like terms: 7x + -6x = 1x 42 + 1x = 49 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 1x = 49 + 0 42 + 1x = 49 Add '-42' to each side of the equation. 42 + -42 + 1x = 49 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 49 + -42 1x = 49 + -42 Combine like terms: 49 + -42 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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