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Simplifying 0.10x + 5 = 0.15x + 3 Reorder the terms: 5 + 0.10x = 0.15x + 3 Reorder the terms: 5 + 0.10x = 3 + 0.15x Solving 5 + 0.10x = 3 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 5 + 0.10x + -0.15x = 3 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 5 + -0.05x = 3 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 5 + -0.05x = 3 + 0.00 5 + -0.05x = 3 Add '-5' to each side of the equation. 5 + -5 + -0.05x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -0.05x = 3 + -5 -0.05x = 3 + -5 Combine like terms: 3 + -5 = -2 -0.05x = -2 Divide each side by '-0.05'. x = 40 Simplifying x = 40
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