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Simplifying 2(a + -1) + 6x = 21 Reorder the terms: 2(-1 + a) + 6x = 21 (-1 * 2 + a * 2) + 6x = 21 (-2 + 2a) + 6x = 21 Solving -2 + 2a + 6x = 21 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 + 6x = 21 + 2 Reorder the terms: -2 + 2 + 2a + 6x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 2a + 6x = 21 + 2 2a + 6x = 21 + 2 Combine like terms: 21 + 2 = 23 2a + 6x = 23 Add '-6x' to each side of the equation. 2a + 6x + -6x = 23 + -6x Combine like terms: 6x + -6x = 0 2a + 0 = 23 + -6x 2a = 23 + -6x Divide each side by '2'. a = 11.5 + -3x Simplifying a = 11.5 + -3x
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