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