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Simplifying -4(8a + 12) + 7(a + 4) = x Reorder the terms: -4(12 + 8a) + 7(a + 4) = x (12 * -4 + 8a * -4) + 7(a + 4) = x (-48 + -32a) + 7(a + 4) = x Reorder the terms: -48 + -32a + 7(4 + a) = x -48 + -32a + (4 * 7 + a * 7) = x -48 + -32a + (28 + 7a) = x Reorder the terms: -48 + 28 + -32a + 7a = x Combine like terms: -48 + 28 = -20 -20 + -32a + 7a = x Combine like terms: -32a + 7a = -25a -20 + -25a = x Solving -20 + -25a = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -25a = 20 + x Combine like terms: -20 + 20 = 0 0 + -25a = 20 + x -25a = 20 + x Divide each side by '-25'. a = -0.8 + -0.04x Simplifying a = -0.8 + -0.04x
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