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Simplifying 0.15x + 0.3 = 0.10x + 0.4 Reorder the terms: 0.3 + 0.15x = 0.10x + 0.4 Reorder the terms: 0.3 + 0.15x = 0.4 + 0.10x Solving 0.3 + 0.15x = 0.4 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 0.3 + 0.15x + -0.10x = 0.4 + 0.10x + -0.10x Combine like terms: 0.15x + -0.10x = 0.05x 0.3 + 0.05x = 0.4 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.3 + 0.05x = 0.4 + 0.00 0.3 + 0.05x = 0.4 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.05x = 0.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.05x = 0.4 + -0.3 0.05x = 0.4 + -0.3 Combine like terms: 0.4 + -0.3 = 0.1 0.05x = 0.1 Divide each side by '0.05'. x = 2 Simplifying x = 2
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