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Simplifying 2a + 3t + -4x + 3 = 5a + -1t + x Reorder the terms: 3 + 2a + 3t + -4x = 5a + -1t + x Solving 3 + 2a + 3t + -4x = 5a + -1t + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + 2a + 3t + -5a + -4x = 5a + -1t + -5a + x Reorder the terms: 3 + 2a + -5a + 3t + -4x = 5a + -1t + -5a + x Combine like terms: 2a + -5a = -3a 3 + -3a + 3t + -4x = 5a + -1t + -5a + x Reorder the terms: 3 + -3a + 3t + -4x = 5a + -5a + -1t + x Combine like terms: 5a + -5a = 0 3 + -3a + 3t + -4x = 0 + -1t + x 3 + -3a + 3t + -4x = -1t + x Add '-3' to each side of the equation. 3 + -3a + 3t + -3 + -4x = -1t + -3 + x Reorder the terms: 3 + -3 + -3a + 3t + -4x = -1t + -3 + x Combine like terms: 3 + -3 = 0 0 + -3a + 3t + -4x = -1t + -3 + x -3a + 3t + -4x = -1t + -3 + x Reorder the terms: -3a + 3t + -4x = -3 + -1t + x Add '-3t' to each side of the equation. -3a + 3t + -3t + -4x = -3 + -1t + -3t + x Combine like terms: 3t + -3t = 0 -3a + 0 + -4x = -3 + -1t + -3t + x -3a + -4x = -3 + -1t + -3t + x Combine like terms: -1t + -3t = -4t -3a + -4x = -3 + -4t + x Add '4x' to each side of the equation. -3a + -4x + 4x = -3 + -4t + x + 4x Combine like terms: -4x + 4x = 0 -3a + 0 = -3 + -4t + x + 4x -3a = -3 + -4t + x + 4x Combine like terms: x + 4x = 5x -3a = -3 + -4t + 5x Divide each side by '-3'. a = 1 + 1.333333333t + -1.666666667x Simplifying a = 1 + 1.333333333t + -1.666666667x
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