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Simplifying 0.9(3x + 6) = 1.2(x + 2) Reorder the terms: 0.9(6 + 3x) = 1.2(x + 2) (6 * 0.9 + 3x * 0.9) = 1.2(x + 2) (5.4 + 2.7x) = 1.2(x + 2) Reorder the terms: 5.4 + 2.7x = 1.2(2 + x) 5.4 + 2.7x = (2 * 1.2 + x * 1.2) 5.4 + 2.7x = (2.4 + 1.2x) Solving 5.4 + 2.7x = 2.4 + 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. 5.4 + 2.7x + -1.2x = 2.4 + 1.2x + -1.2x Combine like terms: 2.7x + -1.2x = 1.5x 5.4 + 1.5x = 2.4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 5.4 + 1.5x = 2.4 + 0.0 5.4 + 1.5x = 2.4 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 1.5x = 2.4 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 1.5x = 2.4 + -5.4 1.5x = 2.4 + -5.4 Combine like terms: 2.4 + -5.4 = -3 1.5x = -3 Divide each side by '1.5'. x = -2 Simplifying x = -2
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