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Simplifying 2x + -2a + 2c = -3x + a + 4cforx Reorder the terms: -2a + 2c + 2x = -3x + a + 4cforx Reorder the terms: -2a + 2c + 2x = a + 4cforx + -3x Solving -2a + 2c + 2x = a + 4cforx + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2a + 2c + -1a + 2x = a + 4cforx + -1a + -3x Reorder the terms: -2a + -1a + 2c + 2x = a + 4cforx + -1a + -3x Combine like terms: -2a + -1a = -3a -3a + 2c + 2x = a + 4cforx + -1a + -3x Reorder the terms: -3a + 2c + 2x = a + -1a + 4cforx + -3x Combine like terms: a + -1a = 0 -3a + 2c + 2x = 0 + 4cforx + -3x -3a + 2c + 2x = 4cforx + -3x Add '-2c' to each side of the equation. -3a + 2c + -2c + 2x = 4cforx + -2c + -3x Combine like terms: 2c + -2c = 0 -3a + 0 + 2x = 4cforx + -2c + -3x -3a + 2x = 4cforx + -2c + -3x Reorder the terms: -3a + 2x = -2c + 4cforx + -3x Add '-2x' to each side of the equation. -3a + 2x + -2x = -2c + 4cforx + -3x + -2x Combine like terms: 2x + -2x = 0 -3a + 0 = -2c + 4cforx + -3x + -2x -3a = -2c + 4cforx + -3x + -2x Combine like terms: -3x + -2x = -5x -3a = -2c + 4cforx + -5x Divide each side by '-3'. a = 0.6666666667c + -1.333333333cforx + 1.666666667x Simplifying a = 0.6666666667c + -1.333333333cforx + 1.666666667x
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