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Simplifying 6(a + x) = 5(x + -6) + 60 (a * 6 + x * 6) = 5(x + -6) + 60 (6a + 6x) = 5(x + -6) + 60 Reorder the terms: 6a + 6x = 5(-6 + x) + 60 6a + 6x = (-6 * 5 + x * 5) + 60 6a + 6x = (-30 + 5x) + 60 Reorder the terms: 6a + 6x = -30 + 60 + 5x Combine like terms: -30 + 60 = 30 6a + 6x = 30 + 5x Solving 6a + 6x = 30 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. 6a + 6x + -6x = 30 + 5x + -6x Combine like terms: 6x + -6x = 0 6a + 0 = 30 + 5x + -6x 6a = 30 + 5x + -6x Combine like terms: 5x + -6x = -1x 6a = 30 + -1x Divide each side by '6'. a = 5 + -0.1666666667x Simplifying a = 5 + -0.1666666667x
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