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Simplifying 4 + -1(5x + -3a) = 3 + -4(x + a) * is + -2 Reorder the terms: 4 + -1(-3a + 5x) = 3 + -4(x + a) * is + -2 4 + (-3a * -1 + 5x * -1) = 3 + -4(x + a) * is + -2 4 + (3a + -5x) = 3 + -4(x + a) * is + -2 Reorder the terms: 4 + 3a + -5x = 3 + -4(a + x) * is + -2 Reorder the terms for easier multiplication: 4 + 3a + -5x = 3 + -4is(a + x) + -2 4 + 3a + -5x = 3 + (a * -4is + x * -4is) + -2 4 + 3a + -5x = 3 + (-4ais + -4isx) + -2 Reorder the terms: 4 + 3a + -5x = 3 + -2 + -4ais + -4isx Combine like terms: 3 + -2 = 1 4 + 3a + -5x = 1 + -4ais + -4isx Solving 4 + 3a + -5x = 1 + -4ais + -4isx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4ais' to each side of the equation. 4 + 3a + 4ais + -5x = 1 + -4ais + 4ais + -4isx Combine like terms: -4ais + 4ais = 0 4 + 3a + 4ais + -5x = 1 + 0 + -4isx 4 + 3a + 4ais + -5x = 1 + -4isx Add '-4' to each side of the equation. 4 + 3a + 4ais + -4 + -5x = 1 + -4 + -4isx Reorder the terms: 4 + -4 + 3a + 4ais + -5x = 1 + -4 + -4isx Combine like terms: 4 + -4 = 0 0 + 3a + 4ais + -5x = 1 + -4 + -4isx 3a + 4ais + -5x = 1 + -4 + -4isx Combine like terms: 1 + -4 = -3 3a + 4ais + -5x = -3 + -4isx Add '5x' to each side of the equation. 3a + 4ais + -5x + 5x = -3 + -4isx + 5x Combine like terms: -5x + 5x = 0 3a + 4ais + 0 = -3 + -4isx + 5x 3a + 4ais = -3 + -4isx + 5x Reorder the terms: 3 + 3a + 4ais + 4isx + -5x = -3 + -4isx + 5x + 3 + 4isx + -5x Reorder the terms: 3 + 3a + 4ais + 4isx + -5x = -3 + 3 + -4isx + 4isx + 5x + -5x Combine like terms: -3 + 3 = 0 3 + 3a + 4ais + 4isx + -5x = 0 + -4isx + 4isx + 5x + -5x 3 + 3a + 4ais + 4isx + -5x = -4isx + 4isx + 5x + -5x Combine like terms: -4isx + 4isx = 0 3 + 3a + 4ais + 4isx + -5x = 0 + 5x + -5x 3 + 3a + 4ais + 4isx + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 3 + 3a + 4ais + 4isx + -5x = 0 The solution to this equation could not be determined.
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