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Simplifying 10 + 2(2a + 1) = 5x + -2 Reorder the terms: 10 + 2(1 + 2a) = 5x + -2 10 + (1 * 2 + 2a * 2) = 5x + -2 10 + (2 + 4a) = 5x + -2 Combine like terms: 10 + 2 = 12 12 + 4a = 5x + -2 Reorder the terms: 12 + 4a = -2 + 5x Solving 12 + 4a = -2 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4a = -2 + -12 + 5x Combine like terms: 12 + -12 = 0 0 + 4a = -2 + -12 + 5x 4a = -2 + -12 + 5x Combine like terms: -2 + -12 = -14 4a = -14 + 5x Divide each side by '4'. a = -3.5 + 1.25x Simplifying a = -3.5 + 1.25x
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