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Simplifying 4a + -1(x + 7) = 13 + -5 Reorder the terms: 4a + -1(7 + x) = 13 + -5 4a + (7 * -1 + x * -1) = 13 + -5 4a + (-7 + -1x) = 13 + -5 Reorder the terms: -7 + 4a + -1x = 13 + -5 Combine like terms: 13 + -5 = 8 -7 + 4a + -1x = 8 Solving -7 + 4a + -1x = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4a + 7 + -1x = 8 + 7 Reorder the terms: -7 + 7 + 4a + -1x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 4a + -1x = 8 + 7 4a + -1x = 8 + 7 Combine like terms: 8 + 7 = 15 4a + -1x = 15 Add 'x' to each side of the equation. 4a + -1x + x = 15 + x Combine like terms: -1x + x = 0 4a + 0 = 15 + x 4a = 15 + x Divide each side by '4'. a = 3.75 + 0.25x Simplifying a = 3.75 + 0.25x
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