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Simplifying a + -2(2x + 1) = 3x + 10 Reorder the terms: a + -2(1 + 2x) = 3x + 10 a + (1 * -2 + 2x * -2) = 3x + 10 a + (-2 + -4x) = 3x + 10 Reorder the terms: -2 + a + -4x = 3x + 10 Reorder the terms: -2 + a + -4x = 10 + 3x Solving -2 + a + -4x = 10 + 3x 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 + a + 2 + -4x = 10 + 2 + 3x Reorder the terms: -2 + 2 + a + -4x = 10 + 2 + 3x Combine like terms: -2 + 2 = 0 0 + a + -4x = 10 + 2 + 3x a + -4x = 10 + 2 + 3x Combine like terms: 10 + 2 = 12 a + -4x = 12 + 3x Add '4x' to each side of the equation. a + -4x + 4x = 12 + 3x + 4x Combine like terms: -4x + 4x = 0 a + 0 = 12 + 3x + 4x a = 12 + 3x + 4x Combine like terms: 3x + 4x = 7x a = 12 + 7x Simplifying a = 12 + 7x
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