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Simplifying 2x + -3(a + b) = x + 18 2x + (a * -3 + b * -3) = x + 18 2x + (-3a + -3b) = x + 18 Reorder the terms: -3a + -3b + 2x = x + 18 Reorder the terms: -3a + -3b + 2x = 18 + x Solving -3a + -3b + 2x = 18 + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -3a + -3b + 3b + 2x = 18 + 3b + x Combine like terms: -3b + 3b = 0 -3a + 0 + 2x = 18 + 3b + x -3a + 2x = 18 + 3b + x Add '-2x' to each side of the equation. -3a + 2x + -2x = 18 + 3b + x + -2x Combine like terms: 2x + -2x = 0 -3a + 0 = 18 + 3b + x + -2x -3a = 18 + 3b + x + -2x Combine like terms: x + -2x = -1x -3a = 18 + 3b + -1x Divide each side by '-3'. a = -6 + -1b + 0.3333333333x Simplifying a = -6 + -1b + 0.3333333333x
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