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Simplifying -1.5x + 5.7 = 0.5x + 0.3 Reorder the terms: 5.7 + -1.5x = 0.5x + 0.3 Reorder the terms: 5.7 + -1.5x = 0.3 + 0.5x Solving 5.7 + -1.5x = 0.3 + 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. 5.7 + -1.5x + -0.5x = 0.3 + 0.5x + -0.5x Combine like terms: -1.5x + -0.5x = -2x 5.7 + -2x = 0.3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5.7 + -2x = 0.3 + 0.0 5.7 + -2x = 0.3 Add '-5.7' to each side of the equation. 5.7 + -5.7 + -2x = 0.3 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -2x = 0.3 + -5.7 -2x = 0.3 + -5.7 Combine like terms: 0.3 + -5.7 = -5.4 -2x = -5.4 Divide each side by '-2'. x = 2.7 Simplifying x = 2.7
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