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Simplifying 0.3(3 + 2x) + 1.2x = 4.5 (3 * 0.3 + 2x * 0.3) + 1.2x = 4.5 (0.9 + 0.6x) + 1.2x = 4.5 Combine like terms: 0.6x + 1.2x = 1.8x 0.9 + 1.8x = 4.5 Solving 0.9 + 1.8x = 4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 1.8x = 4.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.8x = 4.5 + -0.9 1.8x = 4.5 + -0.9 Combine like terms: 4.5 + -0.9 = 3.6 1.8x = 3.6 Divide each side by '1.8'. x = 2 Simplifying x = 2
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