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Simplifying 7(7x + 5) = 7(x + -1) Reorder the terms: 7(5 + 7x) = 7(x + -1) (5 * 7 + 7x * 7) = 7(x + -1) (35 + 49x) = 7(x + -1) Reorder the terms: 35 + 49x = 7(-1 + x) 35 + 49x = (-1 * 7 + x * 7) 35 + 49x = (-7 + 7x) Solving 35 + 49x = -7 + 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 + 49x + -7x = -7 + 7x + -7x Combine like terms: 49x + -7x = 42x 35 + 42x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 42x = -7 + 0 35 + 42x = -7 Add '-35' to each side of the equation. 35 + -35 + 42x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 42x = -7 + -35 42x = -7 + -35 Combine like terms: -7 + -35 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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