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Simplifying 5.1(4 + 4x) + -8.4 = 12 (4 * 5.1 + 4x * 5.1) + -8.4 = 12 (20.4 + 20.4x) + -8.4 = 12 Reorder the terms: 20.4 + -8.4 + 20.4x = 12 Combine like terms: 20.4 + -8.4 = 12 12 + 20.4x = 12 Add '-12' to each side of the equation. 12 + -12 + 20.4x = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 20.4x = 12 + -12 20.4x = 12 + -12 Combine like terms: 12 + -12 = 0 20.4x = 0 Solving 20.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '20.4'. x = 0 Simplifying x = 0
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