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Simplifying 2(x + a) + 2(2x + 13) = 22 Reorder the terms: 2(a + x) + 2(2x + 13) = 22 (a * 2 + x * 2) + 2(2x + 13) = 22 (2a + 2x) + 2(2x + 13) = 22 Reorder the terms: 2a + 2x + 2(13 + 2x) = 22 2a + 2x + (13 * 2 + 2x * 2) = 22 2a + 2x + (26 + 4x) = 22 Reorder the terms: 26 + 2a + 2x + 4x = 22 Combine like terms: 2x + 4x = 6x 26 + 2a + 6x = 22 Solving 26 + 2a + 6x = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 2a + -26 + 6x = 22 + -26 Reorder the terms: 26 + -26 + 2a + 6x = 22 + -26 Combine like terms: 26 + -26 = 0 0 + 2a + 6x = 22 + -26 2a + 6x = 22 + -26 Combine like terms: 22 + -26 = -4 2a + 6x = -4 Add '-6x' to each side of the equation. 2a + 6x + -6x = -4 + -6x Combine like terms: 6x + -6x = 0 2a + 0 = -4 + -6x 2a = -4 + -6x Divide each side by '2'. a = -2 + -3x Simplifying a = -2 + -3x
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