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Simplifying 5(2a + -1) + -6(x + 1) = 1 Reorder the terms: 5(-1 + 2a) + -6(x + 1) = 1 (-1 * 5 + 2a * 5) + -6(x + 1) = 1 (-5 + 10a) + -6(x + 1) = 1 Reorder the terms: -5 + 10a + -6(1 + x) = 1 -5 + 10a + (1 * -6 + x * -6) = 1 -5 + 10a + (-6 + -6x) = 1 Reorder the terms: -5 + -6 + 10a + -6x = 1 Combine like terms: -5 + -6 = -11 -11 + 10a + -6x = 1 Solving -11 + 10a + -6x = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 10a + 11 + -6x = 1 + 11 Reorder the terms: -11 + 11 + 10a + -6x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 10a + -6x = 1 + 11 10a + -6x = 1 + 11 Combine like terms: 1 + 11 = 12 10a + -6x = 12 Add '6x' to each side of the equation. 10a + -6x + 6x = 12 + 6x Combine like terms: -6x + 6x = 0 10a + 0 = 12 + 6x 10a = 12 + 6x Divide each side by '10'. a = 1.2 + 0.6x Simplifying a = 1.2 + 0.6x
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