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Simplifying 1.5(3x + -2) = 3(1.2 + 0.5) Reorder the terms: 1.5(-2 + 3x) = 3(1.2 + 0.5) (-2 * 1.5 + 3x * 1.5) = 3(1.2 + 0.5) (-3 + 4.5x) = 3(1.2 + 0.5) Combine like terms: 1.2 + 0.5 = 1.7 -3 + 4.5x = 3(1.7) Multiply 3 * 1.7 -3 + 4.5x = 5.1 Solving -3 + 4.5x = 5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4.5x = 5.1 + 3 Combine like terms: -3 + 3 = 0 0 + 4.5x = 5.1 + 3 4.5x = 5.1 + 3 Combine like terms: 5.1 + 3 = 8.1 4.5x = 8.1 Divide each side by '4.5'. x = 1.8 Simplifying x = 1.8
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