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Simplifying 0.13(50) + 0.18x = 0.13(x + 50) Multiply 0.13 * 50 6.5 + 0.18x = 0.13(x + 50) Reorder the terms: 6.5 + 0.18x = 0.13(50 + x) 6.5 + 0.18x = (50 * 0.13 + x * 0.13) 6.5 + 0.18x = (6.5 + 0.13x) Add '-6.5' to each side of the equation. 6.5 + -6.5 + 0.18x = 6.5 + -6.5 + 0.13x Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.18x = 6.5 + -6.5 + 0.13x 0.18x = 6.5 + -6.5 + 0.13x Combine like terms: 6.5 + -6.5 = 0.0 0.18x = 0.0 + 0.13x 0.18x = 0.13x Solving 0.18x = 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 0.18x + -0.13x = 0.13x + -0.13x Combine like terms: 0.18x + -0.13x = 0.05x 0.05x = 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 0.05x = 0.00 Divide each side by '0.05'. x = 0 Simplifying x = 0
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