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Simplifying 0.08333(156x + -17) = 1(18 + 12x) Reorder the terms: 0.08333(-17 + 156x) = 1(18 + 12x) (-17 * 0.08333 + 156x * 0.08333) = 1(18 + 12x) (-1.41661 + 12.99948x) = 1(18 + 12x) -1.41661 + 12.99948x = (18 * 1 + 12x * 1) -1.41661 + 12.99948x = (18 + 12x) Solving -1.41661 + 12.99948x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1.41661 + 12.99948x + -12x = 18 + 12x + -12x Combine like terms: 12.99948x + -12x = 0.99948x -1.41661 + 0.99948x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -1.41661 + 0.99948x = 18 + 0 -1.41661 + 0.99948x = 18 Add '1.41661' to each side of the equation. -1.41661 + 1.41661 + 0.99948x = 18 + 1.41661 Combine like terms: -1.41661 + 1.41661 = 0.00000 0.00000 + 0.99948x = 18 + 1.41661 0.99948x = 18 + 1.41661 Combine like terms: 18 + 1.41661 = 19.41661 0.99948x = 19.41661 Divide each side by '0.99948'. x = 19.42671189 Simplifying x = 19.42671189
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