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Simplifying 0.08333(156x + -17) = 0.1(18 + 12x) Reorder the terms: 0.08333(-17 + 156x) = 0.1(18 + 12x) (-17 * 0.08333 + 156x * 0.08333) = 0.1(18 + 12x) (-1.41661 + 12.99948x) = 0.1(18 + 12x) -1.41661 + 12.99948x = (18 * 0.1 + 12x * 0.1) -1.41661 + 12.99948x = (1.8 + 1.2x) Solving -1.41661 + 12.99948x = 1.8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -1.41661 + 12.99948x + -1.2x = 1.8 + 1.2x + -1.2x Combine like terms: 12.99948x + -1.2x = 11.79948x -1.41661 + 11.79948x = 1.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -1.41661 + 11.79948x = 1.8 + 0.0 -1.41661 + 11.79948x = 1.8 Add '1.41661' to each side of the equation. -1.41661 + 1.41661 + 11.79948x = 1.8 + 1.41661 Combine like terms: -1.41661 + 1.41661 = 0.00000 0.00000 + 11.79948x = 1.8 + 1.41661 11.79948x = 1.8 + 1.41661 Combine like terms: 1.8 + 1.41661 = 3.21661 11.79948x = 3.21661 Divide each side by '11.79948'. x = 0.2726060809 Simplifying x = 0.2726060809
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