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Simplifying 4(x + 12) = 2(20 + 22) Reorder the terms: 4(12 + x) = 2(20 + 22) (12 * 4 + x * 4) = 2(20 + 22) (48 + 4x) = 2(20 + 22) Combine like terms: 20 + 22 = 42 48 + 4x = 2(42) Multiply 2 * 42 48 + 4x = 84 Solving 48 + 4x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 4x = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 84 + -48 4x = 84 + -48 Combine like terms: 84 + -48 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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