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Simplifying 2a + 3t + -4x + 3 = a + -1t + x Reorder the terms: 3 + 2a + 3t + -4x = a + -1t + x Solving 3 + 2a + 3t + -4x = a + -1t + x 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. 3 + 2a + 3t + -1a + -4x = a + -1t + -1a + x Reorder the terms: 3 + 2a + -1a + 3t + -4x = a + -1t + -1a + x Combine like terms: 2a + -1a = 1a 3 + 1a + 3t + -4x = a + -1t + -1a + x Reorder the terms: 3 + 1a + 3t + -4x = a + -1a + -1t + x Combine like terms: a + -1a = 0 3 + 1a + 3t + -4x = 0 + -1t + x 3 + 1a + 3t + -4x = -1t + x Add '-3' to each side of the equation. 3 + 1a + 3t + -3 + -4x = -1t + -3 + x Reorder the terms: 3 + -3 + 1a + 3t + -4x = -1t + -3 + x Combine like terms: 3 + -3 = 0 0 + 1a + 3t + -4x = -1t + -3 + x 1a + 3t + -4x = -1t + -3 + x Reorder the terms: 1a + 3t + -4x = -3 + -1t + x Add '-3t' to each side of the equation. 1a + 3t + -3t + -4x = -3 + -1t + -3t + x Combine like terms: 3t + -3t = 0 1a + 0 + -4x = -3 + -1t + -3t + x 1a + -4x = -3 + -1t + -3t + x Combine like terms: -1t + -3t = -4t 1a + -4x = -3 + -4t + x Add '4x' to each side of the equation. 1a + -4x + 4x = -3 + -4t + x + 4x Combine like terms: -4x + 4x = 0 1a + 0 = -3 + -4t + x + 4x 1a = -3 + -4t + x + 4x Combine like terms: x + 4x = 5x 1a = -3 + -4t + 5x Divide each side by '1'. a = -3 + -4t + 5x Simplifying a = -3 + -4t + 5x
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