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