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Simplifying 6a + 5(x + -5) = 52 Reorder the terms: 6a + 5(-5 + x) = 52 6a + (-5 * 5 + x * 5) = 52 6a + (-25 + 5x) = 52 Reorder the terms: -25 + 6a + 5x = 52 Solving -25 + 6a + 5x = 52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 6a + 25 + 5x = 52 + 25 Reorder the terms: -25 + 25 + 6a + 5x = 52 + 25 Combine like terms: -25 + 25 = 0 0 + 6a + 5x = 52 + 25 6a + 5x = 52 + 25 Combine like terms: 52 + 25 = 77 6a + 5x = 77 Add '-5x' to each side of the equation. 6a + 5x + -5x = 77 + -5x Combine like terms: 5x + -5x = 0 6a + 0 = 77 + -5x 6a = 77 + -5x Divide each side by '6'. a = 12.83333333 + -0.8333333333x Simplifying a = 12.83333333 + -0.8333333333x
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