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Simplifying 5a + -1(a + 4) = 30 + -2x Reorder the terms: 5a + -1(4 + a) = 30 + -2x 5a + (4 * -1 + a * -1) = 30 + -2x 5a + (-4 + -1a) = 30 + -2x Reorder the terms: -4 + 5a + -1a = 30 + -2x Combine like terms: 5a + -1a = 4a -4 + 4a = 30 + -2x Solving -4 + 4a = 30 + -2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4a = 30 + 4 + -2x Combine like terms: -4 + 4 = 0 0 + 4a = 30 + 4 + -2x 4a = 30 + 4 + -2x Combine like terms: 30 + 4 = 34 4a = 34 + -2x Divide each side by '4'. a = 8.5 + -0.5x Simplifying a = 8.5 + -0.5x
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