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Simplifying x + 2x + 3a = 4(a + 5) Reorder the terms: 3a + x + 2x = 4(a + 5) Combine like terms: x + 2x = 3x 3a + 3x = 4(a + 5) Reorder the terms: 3a + 3x = 4(5 + a) 3a + 3x = (5 * 4 + a * 4) 3a + 3x = (20 + 4a) Solving 3a + 3x = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 3a + -4a + 3x = 20 + 4a + -4a Combine like terms: 3a + -4a = -1a -1a + 3x = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 -1a + 3x = 20 + 0 -1a + 3x = 20 Add '-3x' to each side of the equation. -1a + 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 -1a + 0 = 20 + -3x -1a = 20 + -3x Divide each side by '-1'. a = -20 + 3x Simplifying a = -20 + 3x
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