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Simplifying 3x + 5v + -2(3z + 2) = 5v + 2b + -3a Reorder the terms: 3x + 5v + -2(2 + 3z) = 5v + 2b + -3a 3x + 5v + (2 * -2 + 3z * -2) = 5v + 2b + -3a 3x + 5v + (-4 + -6z) = 5v + 2b + -3a Reorder the terms: -4 + 5v + 3x + -6z = 5v + 2b + -3a Reorder the terms: -4 + 5v + 3x + -6z = -3a + 2b + 5v Add '-5v' to each side of the equation. -4 + 5v + 3x + -5v + -6z = -3a + 2b + 5v + -5v Reorder the terms: -4 + 5v + -5v + 3x + -6z = -3a + 2b + 5v + -5v Combine like terms: 5v + -5v = 0 -4 + 0 + 3x + -6z = -3a + 2b + 5v + -5v -4 + 3x + -6z = -3a + 2b + 5v + -5v Combine like terms: 5v + -5v = 0 -4 + 3x + -6z = -3a + 2b + 0 -4 + 3x + -6z = -3a + 2b Solving -4 + 3x + -6z = -3a + 2b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3x + 4 + -6z = -3a + 4 + 2b Reorder the terms: -4 + 4 + 3x + -6z = -3a + 4 + 2b Combine like terms: -4 + 4 = 0 0 + 3x + -6z = -3a + 4 + 2b 3x + -6z = -3a + 4 + 2b Reorder the terms: 3x + -6z = 4 + -3a + 2b Add '6z' to each side of the equation. 3x + -6z + 6z = 4 + -3a + 2b + 6z Combine like terms: -6z + 6z = 0 3x + 0 = 4 + -3a + 2b + 6z 3x = 4 + -3a + 2b + 6z Divide each side by '3'. x = 1.333333333 + -1a + 0.6666666667b + 2z Simplifying x = 1.333333333 + -1a + 0.6666666667b + 2z
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