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Simplifying 5(a + b) + -4(x + 3b) = 0 (a * 5 + b * 5) + -4(x + 3b) = 0 (5a + 5b) + -4(x + 3b) = 0 Reorder the terms: 5a + 5b + -4(3b + x) = 0 5a + 5b + (3b * -4 + x * -4) = 0 5a + 5b + (-12b + -4x) = 0 Combine like terms: 5b + -12b = -7b 5a + -7b + -4x = 0 Solving 5a + -7b + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 5a + -7b + 7b + -4x = 0 + 7b Combine like terms: -7b + 7b = 0 5a + 0 + -4x = 0 + 7b 5a + -4x = 0 + 7b Remove the zero: 5a + -4x = 7b Add '4x' to each side of the equation. 5a + -4x + 4x = 7b + 4x Combine like terms: -4x + 4x = 0 5a + 0 = 7b + 4x 5a = 7b + 4x Divide each side by '5'. a = 1.4b + 0.8x Simplifying a = 1.4b + 0.8x
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