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Simplifying 3x + 2(2 + 3(x + -1)) = 2(3a + 4) Reorder the terms: 3x + 2(2 + 3(-1 + x)) = 2(3a + 4) 3x + 2(2 + (-1 * 3 + x * 3)) = 2(3a + 4) 3x + 2(2 + (-3 + 3x)) = 2(3a + 4) Combine like terms: 2 + -3 = -1 3x + 2(-1 + 3x) = 2(3a + 4) 3x + (-1 * 2 + 3x * 2) = 2(3a + 4) 3x + (-2 + 6x) = 2(3a + 4) Reorder the terms: -2 + 3x + 6x = 2(3a + 4) Combine like terms: 3x + 6x = 9x -2 + 9x = 2(3a + 4) Reorder the terms: -2 + 9x = 2(4 + 3a) -2 + 9x = (4 * 2 + 3a * 2) -2 + 9x = (8 + 6a) Solving -2 + 9x = 8 + 6a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x = 8 + 2 + 6a Combine like terms: -2 + 2 = 0 0 + 9x = 8 + 2 + 6a 9x = 8 + 2 + 6a Combine like terms: 8 + 2 = 10 9x = 10 + 6a Divide each side by '9'. x = 1.111111111 + 0.6666666667a Simplifying x = 1.111111111 + 0.6666666667a
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