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Simplifying -0.3x + 0.9 + x = 4.5 + -0.5x Reorder the terms: 0.9 + -0.3x + x = 4.5 + -0.5x Combine like terms: -0.3x + x = 0.7x 0.9 + 0.7x = 4.5 + -0.5x Solving 0.9 + 0.7x = 4.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 0.9 + 0.7x + 0.5x = 4.5 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x 0.9 + 1.2x = 4.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.9 + 1.2x = 4.5 + 0.0 0.9 + 1.2x = 4.5 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 1.2x = 4.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.2x = 4.5 + -0.9 1.2x = 4.5 + -0.9 Combine like terms: 4.5 + -0.9 = 3.6 1.2x = 3.6 Divide each side by '1.2'. x = 3 Simplifying x = 3
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