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Simplifying 1.2(2x + 3) = 20.4 + 1.2x Reorder the terms: 1.2(3 + 2x) = 20.4 + 1.2x (3 * 1.2 + 2x * 1.2) = 20.4 + 1.2x (3.6 + 2.4x) = 20.4 + 1.2x Solving 3.6 + 2.4x = 20.4 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 3.6 + 2.4x + -1.2x = 20.4 + 1.2x + -1.2x Combine like terms: 2.4x + -1.2x = 1.2x 3.6 + 1.2x = 20.4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 3.6 + 1.2x = 20.4 + 0.0 3.6 + 1.2x = 20.4 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 1.2x = 20.4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 1.2x = 20.4 + -3.6 1.2x = 20.4 + -3.6 Combine like terms: 20.4 + -3.6 = 16.8 1.2x = 16.8 Divide each side by '1.2'. x = 14 Simplifying x = 14
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