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Simplifying (4a + -8b + 11) + (-4x + 9b + -17) = 0 Reorder the terms: (11 + 4a + -8b) + (-4x + 9b + -17) = 0 Remove parenthesis around (11 + 4a + -8b) 11 + 4a + -8b + (-4x + 9b + -17) = 0 Reorder the terms: 11 + 4a + -8b + (-17 + 9b + -4x) = 0 Remove parenthesis around (-17 + 9b + -4x) 11 + 4a + -8b + -17 + 9b + -4x = 0 Reorder the terms: 11 + -17 + 4a + -8b + 9b + -4x = 0 Combine like terms: 11 + -17 = -6 -6 + 4a + -8b + 9b + -4x = 0 Combine like terms: -8b + 9b = 1b -6 + 4a + 1b + -4x = 0 Solving -6 + 4a + 1b + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4a + 1b + 6 + -4x = 0 + 6 Reorder the terms: -6 + 6 + 4a + 1b + -4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4a + 1b + -4x = 0 + 6 4a + 1b + -4x = 0 + 6 Combine like terms: 0 + 6 = 6 4a + 1b + -4x = 6 Add '-1b' to each side of the equation. 4a + 1b + -1b + -4x = 6 + -1b Combine like terms: 1b + -1b = 0 4a + 0 + -4x = 6 + -1b 4a + -4x = 6 + -1b Add '4x' to each side of the equation. 4a + -4x + 4x = 6 + -1b + 4x Combine like terms: -4x + 4x = 0 4a + 0 = 6 + -1b + 4x 4a = 6 + -1b + 4x Divide each side by '4'. a = 1.5 + -0.25b + x Simplifying a = 1.5 + -0.25b + x
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