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Simplifying (3x + -1a) * 2 + (4x + 1) * 2 = (5x + -1) * 2 Reorder the terms: (-1a + 3x) * 2 + (4x + 1) * 2 = (5x + -1) * 2 Reorder the terms for easier multiplication: 2(-1a + 3x) + (4x + 1) * 2 = (5x + -1) * 2 (-1a * 2 + 3x * 2) + (4x + 1) * 2 = (5x + -1) * 2 (-2a + 6x) + (4x + 1) * 2 = (5x + -1) * 2 Reorder the terms: -2a + 6x + (1 + 4x) * 2 = (5x + -1) * 2 Reorder the terms for easier multiplication: -2a + 6x + 2(1 + 4x) = (5x + -1) * 2 -2a + 6x + (1 * 2 + 4x * 2) = (5x + -1) * 2 -2a + 6x + (2 + 8x) = (5x + -1) * 2 Reorder the terms: 2 + -2a + 6x + 8x = (5x + -1) * 2 Combine like terms: 6x + 8x = 14x 2 + -2a + 14x = (5x + -1) * 2 Reorder the terms: 2 + -2a + 14x = (-1 + 5x) * 2 Reorder the terms for easier multiplication: 2 + -2a + 14x = 2(-1 + 5x) 2 + -2a + 14x = (-1 * 2 + 5x * 2) 2 + -2a + 14x = (-2 + 10x) Solving 2 + -2a + 14x = -2 + 10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2a + -2 + 14x = -2 + -2 + 10x Reorder the terms: 2 + -2 + -2a + 14x = -2 + -2 + 10x Combine like terms: 2 + -2 = 0 0 + -2a + 14x = -2 + -2 + 10x -2a + 14x = -2 + -2 + 10x Combine like terms: -2 + -2 = -4 -2a + 14x = -4 + 10x Add '-14x' to each side of the equation. -2a + 14x + -14x = -4 + 10x + -14x Combine like terms: 14x + -14x = 0 -2a + 0 = -4 + 10x + -14x -2a = -4 + 10x + -14x Combine like terms: 10x + -14x = -4x -2a = -4 + -4x Divide each side by '-2'. a = 2 + 2x Simplifying a = 2 + 2x
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