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Simplifying 4(x + 3) = 2(a + 6) + 20 Reorder the terms: 4(3 + x) = 2(a + 6) + 20 (3 * 4 + x * 4) = 2(a + 6) + 20 (12 + 4x) = 2(a + 6) + 20 Reorder the terms: 12 + 4x = 2(6 + a) + 20 12 + 4x = (6 * 2 + a * 2) + 20 12 + 4x = (12 + 2a) + 20 Reorder the terms: 12 + 4x = 12 + 20 + 2a Combine like terms: 12 + 20 = 32 12 + 4x = 32 + 2a Solving 12 + 4x = 32 + 2a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 32 + -12 + 2a Combine like terms: 12 + -12 = 0 0 + 4x = 32 + -12 + 2a 4x = 32 + -12 + 2a Combine like terms: 32 + -12 = 20 4x = 20 + 2a Divide each side by '4'. x = 5 + 0.5a Simplifying x = 5 + 0.5a
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