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Simplifying 51 + 0.13x = 38 + 0.18x Solving 51 + 0.13x = 38 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 51 + 0.13x + -0.18x = 38 + 0.18x + -0.18x Combine like terms: 0.13x + -0.18x = -0.05x 51 + -0.05x = 38 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 51 + -0.05x = 38 + 0.00 51 + -0.05x = 38 Add '-51' to each side of the equation. 51 + -51 + -0.05x = 38 + -51 Combine like terms: 51 + -51 = 0 0 + -0.05x = 38 + -51 -0.05x = 38 + -51 Combine like terms: 38 + -51 = -13 -0.05x = -13 Divide each side by '-0.05'. x = 260 Simplifying x = 260
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