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Simplifying 2a + (5x + -13) = 47 Reorder the terms: 2a + (-13 + 5x) = 47 Remove parenthesis around (-13 + 5x) 2a + -13 + 5x = 47 Reorder the terms: -13 + 2a + 5x = 47 Solving -13 + 2a + 5x = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 2a + 13 + 5x = 47 + 13 Reorder the terms: -13 + 13 + 2a + 5x = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 2a + 5x = 47 + 13 2a + 5x = 47 + 13 Combine like terms: 47 + 13 = 60 2a + 5x = 60 Add '-5x' to each side of the equation. 2a + 5x + -5x = 60 + -5x Combine like terms: 5x + -5x = 0 2a + 0 = 60 + -5x 2a = 60 + -5x Divide each side by '2'. a = 30 + -2.5x Simplifying a = 30 + -2.5x
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