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Simplifying 7(x + 5) + -1x = 42 Reorder the terms: 7(5 + x) + -1x = 42 (5 * 7 + x * 7) + -1x = 42 (35 + 7x) + -1x = 42 Combine like terms: 7x + -1x = 6x 35 + 6x = 42 Solving 35 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6x = 42 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 42 + -35 6x = 42 + -35 Combine like terms: 42 + -35 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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