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Simplifying (11x + -37) + (5x + 5a) = 54 Reorder the terms: (-37 + 11x) + (5x + 5a) = 54 Remove parenthesis around (-37 + 11x) -37 + 11x + (5x + 5a) = 54 Reorder the terms: -37 + 11x + (5a + 5x) = 54 Remove parenthesis around (5a + 5x) -37 + 11x + 5a + 5x = 54 Reorder the terms: -37 + 5a + 11x + 5x = 54 Combine like terms: 11x + 5x = 16x -37 + 5a + 16x = 54 Solving -37 + 5a + 16x = 54 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 5a + 37 + 16x = 54 + 37 Reorder the terms: -37 + 37 + 5a + 16x = 54 + 37 Combine like terms: -37 + 37 = 0 0 + 5a + 16x = 54 + 37 5a + 16x = 54 + 37 Combine like terms: 54 + 37 = 91 5a + 16x = 91 Add '-16x' to each side of the equation. 5a + 16x + -16x = 91 + -16x Combine like terms: 16x + -16x = 0 5a + 0 = 91 + -16x 5a = 91 + -16x Divide each side by '5'. a = 18.2 + -3.2x Simplifying a = 18.2 + -3.2x
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