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Simplifying 7(6x + 2) = 7(3x + 5) Reorder the terms: 7(2 + 6x) = 7(3x + 5) (2 * 7 + 6x * 7) = 7(3x + 5) (14 + 42x) = 7(3x + 5) Reorder the terms: 14 + 42x = 7(5 + 3x) 14 + 42x = (5 * 7 + 3x * 7) 14 + 42x = (35 + 21x) Solving 14 + 42x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 14 + 42x + -21x = 35 + 21x + -21x Combine like terms: 42x + -21x = 21x 14 + 21x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 14 + 21x = 35 + 0 14 + 21x = 35 Add '-14' to each side of the equation. 14 + -14 + 21x = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 21x = 35 + -14 21x = 35 + -14 Combine like terms: 35 + -14 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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