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Simplifying 0.08333(156x + -17) = 70(18 + 12x) Reorder the terms: 0.08333(-17 + 156x) = 70(18 + 12x) (-17 * 0.08333 + 156x * 0.08333) = 70(18 + 12x) (-1.41661 + 12.99948x) = 70(18 + 12x) -1.41661 + 12.99948x = (18 * 70 + 12x * 70) -1.41661 + 12.99948x = (1260 + 840x) Solving -1.41661 + 12.99948x = 1260 + 840x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-840x' to each side of the equation. -1.41661 + 12.99948x + -840x = 1260 + 840x + -840x Combine like terms: 12.99948x + -840x = -827.00052x -1.41661 + -827.00052x = 1260 + 840x + -840x Combine like terms: 840x + -840x = 0 -1.41661 + -827.00052x = 1260 + 0 -1.41661 + -827.00052x = 1260 Add '1.41661' to each side of the equation. -1.41661 + 1.41661 + -827.00052x = 1260 + 1.41661 Combine like terms: -1.41661 + 1.41661 = 0.00000 0.00000 + -827.00052x = 1260 + 1.41661 -827.00052x = 1260 + 1.41661 Combine like terms: 1260 + 1.41661 = 1261.41661 -827.00052x = 1261.41661 Divide each side by '-827.00052'. x = -1.525291193 Simplifying x = -1.525291193
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