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Simplifying 2(7x + 7) = 7(6x + 6) Reorder the terms: 2(7 + 7x) = 7(6x + 6) (7 * 2 + 7x * 2) = 7(6x + 6) (14 + 14x) = 7(6x + 6) Reorder the terms: 14 + 14x = 7(6 + 6x) 14 + 14x = (6 * 7 + 6x * 7) 14 + 14x = (42 + 42x) Solving 14 + 14x = 42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 14 + 14x + -42x = 42 + 42x + -42x Combine like terms: 14x + -42x = -28x 14 + -28x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 14 + -28x = 42 + 0 14 + -28x = 42 Add '-14' to each side of the equation. 14 + -14 + -28x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -28x = 42 + -14 -28x = 42 + -14 Combine like terms: 42 + -14 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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