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Simplifying 7(3x + 14) + 4(x + 47) = 12 Reorder the terms: 7(14 + 3x) + 4(x + 47) = 12 (14 * 7 + 3x * 7) + 4(x + 47) = 12 (98 + 21x) + 4(x + 47) = 12 Reorder the terms: 98 + 21x + 4(47 + x) = 12 98 + 21x + (47 * 4 + x * 4) = 12 98 + 21x + (188 + 4x) = 12 Reorder the terms: 98 + 188 + 21x + 4x = 12 Combine like terms: 98 + 188 = 286 286 + 21x + 4x = 12 Combine like terms: 21x + 4x = 25x 286 + 25x = 12 Solving 286 + 25x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-286' to each side of the equation. 286 + -286 + 25x = 12 + -286 Combine like terms: 286 + -286 = 0 0 + 25x = 12 + -286 25x = 12 + -286 Combine like terms: 12 + -286 = -274 25x = -274 Divide each side by '25'. x = -10.96 Simplifying x = -10.96
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