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Simplifying 5(a + 1) + 2a + 7 = 33 Reorder the terms: 5(1 + a) + 2a + 7 = 33 (1 * 5 + a * 5) + 2a + 7 = 33 (5 + 5a) + 2a + 7 = 33 Reorder the terms: 5 + 7 + 5a + 2a = 33 Combine like terms: 5 + 7 = 12 12 + 5a + 2a = 33 Combine like terms: 5a + 2a = 7a 12 + 7a = 33 Solving 12 + 7a = 33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7a = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7a = 33 + -12 7a = 33 + -12 Combine like terms: 33 + -12 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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