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Simplifying 8(4x + 2) = 9(2x + 98) Reorder the terms: 8(2 + 4x) = 9(2x + 98) (2 * 8 + 4x * 8) = 9(2x + 98) (16 + 32x) = 9(2x + 98) Reorder the terms: 16 + 32x = 9(98 + 2x) 16 + 32x = (98 * 9 + 2x * 9) 16 + 32x = (882 + 18x) Solving 16 + 32x = 882 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 16 + 32x + -18x = 882 + 18x + -18x Combine like terms: 32x + -18x = 14x 16 + 14x = 882 + 18x + -18x Combine like terms: 18x + -18x = 0 16 + 14x = 882 + 0 16 + 14x = 882 Add '-16' to each side of the equation. 16 + -16 + 14x = 882 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 882 + -16 14x = 882 + -16 Combine like terms: 882 + -16 = 866 14x = 866 Divide each side by '14'. x = 61.85714286 Simplifying x = 61.85714286
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