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Simplifying 0.50 = 0.05(x) + 0.10(x + 2) Reorder the terms: 0.50 = 0.05x + 0.10(2 + x) 0.50 = 0.05x + (2 * 0.10 + x * 0.10) 0.50 = 0.05x + (0.2 + 0.10x) Reorder the terms: 0.50 = 0.2 + 0.05x + 0.10x Combine like terms: 0.05x + 0.10x = 0.15x 0.50 = 0.2 + 0.15x Solving 0.50 = 0.2 + 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. 0.50 + -0.15x = 0.2 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 0.50 + -0.15x = 0.2 + 0.00 0.50 + -0.15x = 0.2 Add '-0.50' to each side of the equation. 0.50 + -0.50 + -0.15x = 0.2 + -0.50 Combine like terms: 0.50 + -0.50 = 0.00 0.00 + -0.15x = 0.2 + -0.50 -0.15x = 0.2 + -0.50 Combine like terms: 0.2 + -0.50 = -0.3 -0.15x = -0.3 Divide each side by '-0.15'. x = 2 Simplifying x = 2
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