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Simplifying 0.08333(156x + -17) = 21(18 + 12x) Reorder the terms: 0.08333(-17 + 156x) = 21(18 + 12x) (-17 * 0.08333 + 156x * 0.08333) = 21(18 + 12x) (-1.41661 + 12.99948x) = 21(18 + 12x) -1.41661 + 12.99948x = (18 * 21 + 12x * 21) -1.41661 + 12.99948x = (378 + 252x) Solving -1.41661 + 12.99948x = 378 + 252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-252x' to each side of the equation. -1.41661 + 12.99948x + -252x = 378 + 252x + -252x Combine like terms: 12.99948x + -252x = -239.00052x -1.41661 + -239.00052x = 378 + 252x + -252x Combine like terms: 252x + -252x = 0 -1.41661 + -239.00052x = 378 + 0 -1.41661 + -239.00052x = 378 Add '1.41661' to each side of the equation. -1.41661 + 1.41661 + -239.00052x = 378 + 1.41661 Combine like terms: -1.41661 + 1.41661 = 0.00000 0.00000 + -239.00052x = 378 + 1.41661 -239.00052x = 378 + 1.41661 Combine like terms: 378 + 1.41661 = 379.41661 -239.00052x = 379.41661 Divide each side by '-239.00052'. x = -1.587513743 Simplifying x = -1.587513743
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