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Simplifying 14(x + 1) = 21x Reorder the terms: 14(1 + x) = 21x (1 * 14 + x * 14) = 21x (14 + 14x) = 21x Solving 14 + 14x = 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 + 14x + -21x = 21x + -21x Combine like terms: 14x + -21x = -7x 14 + -7x = 21x + -21x Combine like terms: 21x + -21x = 0 14 + -7x = 0 Add '-14' to each side of the equation. 14 + -14 + -7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 0 + -14 -7x = 0 + -14 Combine like terms: 0 + -14 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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