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Simplifying 0.3x + 0.5 = 0.75x + -0.3 Reorder the terms: 0.5 + 0.3x = 0.75x + -0.3 Reorder the terms: 0.5 + 0.3x = -0.3 + 0.75x Solving 0.5 + 0.3x = -0.3 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0.5 + 0.3x + -0.75x = -0.3 + 0.75x + -0.75x Combine like terms: 0.3x + -0.75x = -0.45x 0.5 + -0.45x = -0.3 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.5 + -0.45x = -0.3 + 0.00 0.5 + -0.45x = -0.3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.45x = -0.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.45x = -0.3 + -0.5 -0.45x = -0.3 + -0.5 Combine like terms: -0.3 + -0.5 = -0.8 -0.45x = -0.8 Divide each side by '-0.45'. x = 1.777777778 Simplifying x = 1.777777778
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