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Simplifying 0.3x + 0.5 = 1 + -0.05x Reorder the terms: 0.5 + 0.3x = 1 + -0.05x Solving 0.5 + 0.3x = 1 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 0.5 + 0.3x + 0.05x = 1 + -0.05x + 0.05x Combine like terms: 0.3x + 0.05x = 0.35x 0.5 + 0.35x = 1 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 0.5 + 0.35x = 1 + 0.00 0.5 + 0.35x = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.35x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.35x = 1 + -0.5 0.35x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 0.35x = 0.5 Divide each side by '0.35'. x = 1.428571429 Simplifying x = 1.428571429
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