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Simplifying 4 + -1(5x + -3a) = 3 + -4(x + a) Reorder the terms: 4 + -1(-3a + 5x) = 3 + -4(x + a) 4 + (-3a * -1 + 5x * -1) = 3 + -4(x + a) 4 + (3a + -5x) = 3 + -4(x + a) Reorder the terms: 4 + 3a + -5x = 3 + -4(a + x) 4 + 3a + -5x = 3 + (a * -4 + x * -4) 4 + 3a + -5x = 3 + (-4a + -4x) Solving 4 + 3a + -5x = 3 + -4a + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 4 + 3a + 4a + -5x = 3 + -4a + 4a + -4x Combine like terms: 3a + 4a = 7a 4 + 7a + -5x = 3 + -4a + 4a + -4x Combine like terms: -4a + 4a = 0 4 + 7a + -5x = 3 + 0 + -4x 4 + 7a + -5x = 3 + -4x Add '-4' to each side of the equation. 4 + 7a + -4 + -5x = 3 + -4 + -4x Reorder the terms: 4 + -4 + 7a + -5x = 3 + -4 + -4x Combine like terms: 4 + -4 = 0 0 + 7a + -5x = 3 + -4 + -4x 7a + -5x = 3 + -4 + -4x Combine like terms: 3 + -4 = -1 7a + -5x = -1 + -4x Add '5x' to each side of the equation. 7a + -5x + 5x = -1 + -4x + 5x Combine like terms: -5x + 5x = 0 7a + 0 = -1 + -4x + 5x 7a = -1 + -4x + 5x Combine like terms: -4x + 5x = 1x 7a = -1 + 1x Divide each side by '7'. a = -0.1428571429 + 0.1428571429x Simplifying a = -0.1428571429 + 0.1428571429x
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