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Simplifying 7(x + 1) = 3(7x + 4) Reorder the terms: 7(1 + x) = 3(7x + 4) (1 * 7 + x * 7) = 3(7x + 4) (7 + 7x) = 3(7x + 4) Reorder the terms: 7 + 7x = 3(4 + 7x) 7 + 7x = (4 * 3 + 7x * 3) 7 + 7x = (12 + 21x) Solving 7 + 7x = 12 + 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. 7 + 7x + -21x = 12 + 21x + -21x Combine like terms: 7x + -21x = -14x 7 + -14x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 7 + -14x = 12 + 0 7 + -14x = 12 Add '-7' to each side of the equation. 7 + -7 + -14x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 12 + -7 -14x = 12 + -7 Combine like terms: 12 + -7 = 5 -14x = 5 Divide each side by '-14'. x = -0.3571428571 Simplifying x = -0.3571428571
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